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Advances in harmonic analysis and partial differential equations / / Vladimir Georgiev [and three others], editor
| Advances in harmonic analysis and partial differential equations / / Vladimir Georgiev [and three others], editor |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2020] |
| Descrizione fisica | 1 online resource (X, 317 p. 5 illus., 2 illus. in color.) |
| Disciplina | QA377 |
| Collana | Trends in mathematics |
| Soggetto topico | Differential equations, Partial |
| ISBN | 3-030-58215-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Local smoothing of Fourier integral operators and Hermite functions -- On () -classes on the Engel group -- Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups -- A multiplicity result for a non-homogeneous subelliptic problem with Sobolev exponent -- The Dixmier trace and the noncommutative residue for multipliers on compact manifolds -- On the focusing energy-critical 3D quintic inhomogeneous NLS -- Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order -- Spectral theory for magnetic Schrödinger operators in exterior domains with exploding and oscillating long-range potentials -- Simple proof of the estimate of solutions to Schrödinger equations with linear and sub-linear potentials in modulation spaces -- Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates -- On uniqueness for the generalized Choquard equation -- Characterization of the ground state to the intercritical NLS with a linear potential by the virial functional -- Well-posedness for a generalized Klein-Gordon-Schrödinger equations. |
| Record Nr. | UNISA-996418191903316 |
| Cham, Switzerland : , : Birkhäuser, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Advances in harmonic analysis and partial differential equations / / Vladimir Georgiev [and three others], editor
| Advances in harmonic analysis and partial differential equations / / Vladimir Georgiev [and three others], editor |
| Edizione | [1st ed. 2020.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2020] |
| Descrizione fisica | 1 online resource (X, 317 p. 5 illus., 2 illus. in color.) |
| Disciplina | QA377 |
| Collana | Trends in mathematics |
| Soggetto topico | Differential equations, Partial |
| ISBN | 3-030-58215-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Local smoothing of Fourier integral operators and Hermite functions -- On () -classes on the Engel group -- Gelfand triples for the Kohn–Nirenberg quantization on homogeneous Lie groups -- A multiplicity result for a non-homogeneous subelliptic problem with Sobolev exponent -- The Dixmier trace and the noncommutative residue for multipliers on compact manifolds -- On the focusing energy-critical 3D quintic inhomogeneous NLS -- Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order -- Spectral theory for magnetic Schrödinger operators in exterior domains with exploding and oscillating long-range potentials -- Simple proof of the estimate of solutions to Schrödinger equations with linear and sub-linear potentials in modulation spaces -- Remark on asymptotic order for the energy critical nonlinear damped wave equation to the linear heat equation via the Strichartz estimates -- On uniqueness for the generalized Choquard equation -- Characterization of the ground state to the intercritical NLS with a linear potential by the virial functional -- Well-posedness for a generalized Klein-Gordon-Schrödinger equations. |
| Record Nr. | UNINA-9910484576903321 |
| Cham, Switzerland : , : Birkhäuser, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in harmonic analysis and partial differential equations
| Advances in harmonic analysis and partial differential equations |
| Pubbl/distr/stampa | Springer International Publishing, 2020 |
| Altri autori (Persone) | GeorgievVladimir |
| ISBN | 3-030-58215-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910847196503321 |
| Springer International Publishing, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in harmonic analysis and partial differential equations
| Advances in harmonic analysis and partial differential equations |
| Pubbl/distr/stampa | Springer International Publishing, 2020 |
| Altri autori (Persone) | GeorgievVladimir |
| ISBN | 3-030-58215-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996590960703316 |
| Springer International Publishing, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
New Tools for Nonlinear PDEs and Application [[electronic resource] /] / edited by Marcello D'Abbicco, Marcelo Rempel Ebert, Vladimir Georgiev, Tohru Ozawa
| New Tools for Nonlinear PDEs and Application [[electronic resource] /] / edited by Marcello D'Abbicco, Marcelo Rempel Ebert, Vladimir Georgiev, Tohru Ozawa |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (392 pages) |
| Disciplina | 515.353 |
| Collana | Trends in Mathematics |
| Soggetto topico |
Partial differential equations
Partial Differential Equations |
| ISBN | 3-030-10937-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- On effective PDEs of quantum physics -- Critical exponents for differential inequalities with Riemann-Liouville and Caputo fractional derivatives -- Weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms and different power nonlinearities -- Incompressible Limits for Generalisations to Symmetrisable Systems -- The critical exponent for evolution models with power non-linearity -- Blow-up or global existence for the fractional Ginzburg-Landau equation in multi-dimensional case -- Semilinear damped Klein-Gordon models with time-dependent coefficients -- Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term -- 4D semilinear weakly hyperbolic wave equations -- Smoothing and Strichartz estimates to perturbed Magnetic Klein-Gordon equations in exterior domain and some applicationsv -- The Cauchy problem for dissipative wave equations with weighted nonlinear terms -- Global existence results for a semilinear wave equation with scale-invariant damping and mass in odd space dimension -- Wave equations in modulation spaces-Decay versus loss of regularity. |
| Record Nr. | UNINA-9910338247803321 |
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors
| Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (246 pages) |
| Disciplina | 515.35 |
| Collana | Springer INdAM series |
| Soggetto topico |
Differential equations
Functional analysis |
| ISBN | 981-19-6434-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Organization -- Program Chairs -- Contents -- About the Editors -- Part I Long-Time Behavior of NLS-Type Equations -- A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential -- 1 Introduction -- 2 The Proof -- 2.1 Estimate of the Continuous Variable η -- 2.2 Estimate of Discrete Variables -- References -- Dynamics of Solutions to the Gross-Pitaevskii Equation Describing Dipolar Bose-Einstein Condensates -- 1 Introduction -- 1.1 Background -- 1.2 Main Results -- 1.2.1 Dynamics Below the Threshold -- 1.2.2 Dynamics Above the Threshold -- 1.2.3 Dynamics at the Threshold -- 2 Decay for Powers of Riesz Transforms and Virial Arguments -- 2.1 Integral Estimates for R4j -- 2.2 Point-Wise Estimates for R2j -- 2.3 Virial Identities -- 3 Sketch of the Proofs Below the Threshold -- 3.1 Scattering -- 3.2 Blow-up -- 3.3 Grow-up -- 4 Sketch of the Proofs Above the Threshold -- 5 Sketch of the Proofs at the Threshold -- References -- Part II Probabilistic and Nonstandard Methods in the Study of NLS Equations -- Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on T2 -- 1 Introduction -- 1.1 Notations and Terminology -- 2 Proof of Theorem 1 -- 2.1 Proof of Theorem 1 -- 3 Proof of Proposition 1 -- 3.1 Proof of Proposition 1 -- 4 Proof of Theorem 2 -- 4.1 Proof of Theorem 2 -- 4.2 Proof of Proposition 3 -- References -- Nonlinear Schrödinger Equation with Singularities -- 1 Introduction -- 2 The Colombeau Algebra -- 2.1 Notion of Colombeau Solution -- 2.2 Compatibility -- 3 Existence and Uniqueness of a Singular Solution -- 4 Convergence Properties -- References -- Part III Dispersive Properties -- Schrödinger Flow's Dispersive Estimates in a Regime of Re-scaled Potentials -- 1 Introduction and Background -- 2 A Preliminary Overview of Relevant Spectral Properties.
3 Dispersive Estimates with -Uniform Bound -- 4 Outlook on Further Scaling Regimes -- References -- Dispersive Estimates for the Dirac-Coulomb Equation -- 1 Introduction -- 1.1 The Setup: Partial Wave Decomposition, Spectral Theory, and the Hankel Transform Method -- 2 Dispersive Estimates -- 2.1 Local Smoothing -- 2.2 Strichartz Estimates with Loss of Angular Derivatives -- 2.3 Open Problems and Related Models -- References -- Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines -- 1 Introduction: The Bridging-Heat Equation in 1D -- 2 A Concise Review of Geometric Confinement and Transmission Protocols in a Grushin Cylinder -- 3 Related Settings: Grushin Planes and Almost-Riemannian Manifolds -- 4 A Numerical Glance at the Bridging-Heat Evolution -- References -- Part IV Wave- and KdV-Type Equations -- On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations -- 1 Introduction -- 2 Paradifferential Calculus -- 3 Paralinearization -- 4 Linear Local Well-Posedness -- 5 Nonlinear Local Well-Posedness -- References -- Quasilinear Wave Equations with Decaying Time-Potential -- 1 Introduction -- 2 Quasilinear Wave Equations -- 2.1 Statement of the Main Results -- 2.2 Proof of Theorem 1 -- 2.3 Proof of Theorem 2 -- 3 Applications -- 4 An Existence Result -- References -- Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Waves -- 1 Introduction -- 2 Outline of the Method and Results -- 2.1 Hamiltonian Field Theory -- 2.2 Results: Informal Presentation -- 3 Abstract Setting: Perturbation Theory in Poisson Systems -- 3.1 Poisson Formalism -- 3.2 Perturbation Theory -- 4 Hamiltonian Field Theory Close to qtt=qxx -- 4.1 Traveling Waves -- 4.2 The Generic Case -- 4.3 The Mechanical Case -- 5 Applications -- 5.1 The Fermi-Pasta-Ulam Problem -- 5.2 Water Waves. 6 Conclusions and Open Problems -- References -- Author Index. |
| Record Nr. | UNISA-996503552103316 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors
| Qualitative properties of dispersive PDEs / / Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone, editors |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (246 pages) |
| Disciplina | 515.35 |
| Collana | Springer INdAM series |
| Soggetto topico |
Differential equations
Functional analysis |
| ISBN | 981-19-6434-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Organization -- Program Chairs -- Contents -- About the Editors -- Part I Long-Time Behavior of NLS-Type Equations -- A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential -- 1 Introduction -- 2 The Proof -- 2.1 Estimate of the Continuous Variable η -- 2.2 Estimate of Discrete Variables -- References -- Dynamics of Solutions to the Gross-Pitaevskii Equation Describing Dipolar Bose-Einstein Condensates -- 1 Introduction -- 1.1 Background -- 1.2 Main Results -- 1.2.1 Dynamics Below the Threshold -- 1.2.2 Dynamics Above the Threshold -- 1.2.3 Dynamics at the Threshold -- 2 Decay for Powers of Riesz Transforms and Virial Arguments -- 2.1 Integral Estimates for R4j -- 2.2 Point-Wise Estimates for R2j -- 2.3 Virial Identities -- 3 Sketch of the Proofs Below the Threshold -- 3.1 Scattering -- 3.2 Blow-up -- 3.3 Grow-up -- 4 Sketch of the Proofs Above the Threshold -- 5 Sketch of the Proofs at the Threshold -- References -- Part II Probabilistic and Nonstandard Methods in the Study of NLS Equations -- Almost Sure Pointwise Convergence of the Cubic Nonlinear Schrödinger Equation on T2 -- 1 Introduction -- 1.1 Notations and Terminology -- 2 Proof of Theorem 1 -- 2.1 Proof of Theorem 1 -- 3 Proof of Proposition 1 -- 3.1 Proof of Proposition 1 -- 4 Proof of Theorem 2 -- 4.1 Proof of Theorem 2 -- 4.2 Proof of Proposition 3 -- References -- Nonlinear Schrödinger Equation with Singularities -- 1 Introduction -- 2 The Colombeau Algebra -- 2.1 Notion of Colombeau Solution -- 2.2 Compatibility -- 3 Existence and Uniqueness of a Singular Solution -- 4 Convergence Properties -- References -- Part III Dispersive Properties -- Schrödinger Flow's Dispersive Estimates in a Regime of Re-scaled Potentials -- 1 Introduction and Background -- 2 A Preliminary Overview of Relevant Spectral Properties.
3 Dispersive Estimates with -Uniform Bound -- 4 Outlook on Further Scaling Regimes -- References -- Dispersive Estimates for the Dirac-Coulomb Equation -- 1 Introduction -- 1.1 The Setup: Partial Wave Decomposition, Spectral Theory, and the Hankel Transform Method -- 2 Dispersive Estimates -- 2.1 Local Smoothing -- 2.2 Strichartz Estimates with Loss of Angular Derivatives -- 2.3 Open Problems and Related Models -- References -- Heat Equation with Inverse-Square Potential of Bridging Type Across Two Half-Lines -- 1 Introduction: The Bridging-Heat Equation in 1D -- 2 A Concise Review of Geometric Confinement and Transmission Protocols in a Grushin Cylinder -- 3 Related Settings: Grushin Planes and Almost-Riemannian Manifolds -- 4 A Numerical Glance at the Bridging-Heat Evolution -- References -- Part IV Wave- and KdV-Type Equations -- On the Cauchy Problem for Quasi-Linear Hamiltonian KdV-Type Equations -- 1 Introduction -- 2 Paradifferential Calculus -- 3 Paralinearization -- 4 Linear Local Well-Posedness -- 5 Nonlinear Local Well-Posedness -- References -- Quasilinear Wave Equations with Decaying Time-Potential -- 1 Introduction -- 2 Quasilinear Wave Equations -- 2.1 Statement of the Main Results -- 2.2 Proof of Theorem 1 -- 2.3 Proof of Theorem 2 -- 3 Applications -- 4 An Existence Result -- References -- Hamiltonian Field Theory Close to the Wave Equation: From Fermi-Pasta-Ulam to Water Waves -- 1 Introduction -- 2 Outline of the Method and Results -- 2.1 Hamiltonian Field Theory -- 2.2 Results: Informal Presentation -- 3 Abstract Setting: Perturbation Theory in Poisson Systems -- 3.1 Poisson Formalism -- 3.2 Perturbation Theory -- 4 Hamiltonian Field Theory Close to qtt=qxx -- 4.1 Traveling Waves -- 4.2 The Generic Case -- 4.3 The Mechanical Case -- 5 Applications -- 5.1 The Fermi-Pasta-Ulam Problem -- 5.2 Water Waves. 6 Conclusions and Open Problems -- References -- Author Index. |
| Record Nr. | UNINA-9910633918803321 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||