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Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure / / by Pascal Auscher, Moritz Egert
| Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure / / by Pascal Auscher, Moritz Egert |
| Autore | Auscher Pascal |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (310 pages) |
| Disciplina | 515.353 |
| Altri autori (Persone) | EgertMoritz |
| Collana | Progress in Mathematics |
| Soggetto topico |
Differential equations
Harmonic analysis Operator theory Functional analysis Differential Equations Abstract Harmonic Analysis Operator Theory Functional Analysis Equacions diferencials el·líptiques Problemes de contorn Espais de Hardy |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-29973-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter. 1. Introduction and main results -- Chapter. 2. Preliminaries on function spaces -- Chapter. 3. Preliminaries on operator theory -- Chapter. 4. Hp - Hq bounded families -- Chapter. 5. Conservation properties -- Chapter. 6. The four critical numbers -- Chapter. 7. Riesz transform estimates: Part I -- Chapter. 8. Operator-adapted spaces -- Chapter. 9. Identification of adapted Hardy spaces -- Chapter. 10. A digression: H -calculus and analyticity -- Chapter. 11. Riesz transform estimates: Part II -- Chapter. 12. Critical numbers for Poisson and heat semigroups -- Chapter. 13. Lp boundedness of the Hodge projector -- Chapter. 14. Critical numbers and kernel bounds -- Chapter. 15. Comparison with the Auscher–Stahlhut interval -- Chapter. 16. Basic properties of weak solutions -- Chapter. 17. Existence in Hp Dirichlet and Regularity problems -- Chapter. 18. Existence in the Dirichlet problems with data -- Chapter. 19. Existence in Dirichlet problems with fractional regularity data -- Chapter. 20. Single layer operators for L and estimates for L-1 -- Chapter. 21. Uniqueness in regularity and Dirichlet problems -- Chapter. 22. The Neumann problem -- Appendix A. Non-tangential maximal functions and traces -- Appendix B. The Lp-realization of a sectorial operator in L2 -- References -- Index. |
| Record Nr. | UNINA-9910736007303321 |
Auscher Pascal
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems : FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023, Invited Contributions / / edited by Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, Laurent Navoret
| Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems : FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023, Invited Contributions / / edited by Emmanuel Franck, Jürgen Fuhrmann, Victor Michel-Dansac, Laurent Navoret |
| Autore | Franck Emmanuel |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (381 pages) |
| Disciplina |
510
518.25 |
| Altri autori (Persone) |
FuhrmannJürgen
Michel-DansacVictor NavoretLaurent |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Mathematics
Engineering mathematics Engineering - Data processing Mathematical and Computational Engineering Applications Equacions diferencials el·líptiques Equacions diferencials parabòliques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-40864-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited papers, R. Abgrall, A personal discussion on conservation, and how to formulate it -- W. Boscheri, C. Birke and C. Klingenberg, A high order semi-implicit scheme for ideal magnetohydrodynamics -- A. Artoni, P. F. Antonietti, R. Corradi, I. Mazzieri, N. Parolini, D. Rocchi, P. Schito and Francesco F. Semeraro, AeroSPEED: a high order acoustic solver for aeroacoustic applications -- C. Cancès, M. Herda and A. Massimini, Finite volumes for a generalized Poisson-Nernst-Planck system with crossdiffusion and size exclusion -- X. D. Sánchez and J. Ryan, Magic SIAC Toolbox: A Codebase of Effective, Efficient, and Flexible Filters -- C. Helzel and E. Chudzik, A Review of Cartesian Grid Active Flux Methods for Hyperbolic Conservation Laws -- C. Rohde, Moving-Mesh Finite-Volume Methods for Hyperbolic Interface Dynamics -- M. Peszynska, Mixed dimensional modeling with overlapping continua on Cartesian grids for complex applications -- Contributed papers: Pierre-Loïc Bacq, Antoine Gerschenfeld and Michael Ndjinga, PolyMAC: staggered finite volume methods on general meshes for incompressible Navier-Stokes problems -- C. Bauzet, F. Nabet, K. Schmitz and A. Zimmermann, Finite Volume Approximations for Non-Linear Parabolic Problems with Stochastic Forcing -- F. Benkhaldoun and Abdallah Bradji, A new analysis for a super-convergence result in the divergence norm for Lowest Order Raviart-Thomas Mixed Finite Elements combined with the Crank-Nicolson method applied to one dimensional parabolic equations -- Benkhaldoun, Fayssal, Bradji, Abdallah, An L∞(H1)–error estimate for Gradient Schemes applied to time fractional diffusion equations -- Jerome Bonelle and Thomas Fonty, Compatible Discrete Operator schemes for solidification and segregation phenomena -- M. Boutilier, K. Brenner and V. Dolean, Trefftz approximation space for Poisson equation in perforated domains -- C. Cancès, J. Cauvin-Vila, C. Chainais-Hillairet and V. Ehrlacher, Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface -- C. Chainais-Hillairet and M. Alfaro, Finite volume scheme for the diffusive field-road model: study of the long time behaviour -- C. Chainais-Hillairet, R. Eymard and J. Fuhrmann, An approximate two-point Dirichlet flux for quasilinear convection diffusion equations -- Z. Chehade and Y. Coudière, The Two-Point Finite Volume Scheme for the Microscopic Bidomain Model of Electrocardiology -- E. Chénier, C. Le Potier, Erell Jamelot and Andrew Peitavy, Improved Crouzeix-Raviart scheme for the Stokes problem -- S. Clément, F. Lemarié and E. Blayo, Towards a finite volume discretization of the atmospheric surface layer consistent with physical theory -- J. Droniou, M. Laaziri and R. Masson, Thermodynamically Consistent discretisation of a Thermo-HydroMechanical model -- E. Eggenweiler, J. Nickl and I. Rybak, Justification of Generalized Interface Conditions for Stokes-Darcy Problems -- J. Fuhrmann, B. Gaudeul and C. Keller, Two entropic finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints -- M. Gander, J. Hennicker, R. Masson and T. Vanzan, Dimensional reduction by Fourier analysis of a Stokes-Darcy fracture model -- M. Heida, Finite Volumes for Simulation of Large Molecules -- M. M. Knodel, Arne Nägel, Eva Herrmann and Gabriel Wittum, PDE models of virus replication merging 2D manifold and 3D volume effects evaluated at realistic reconstructed cell geometries -- S. Krell and J. Moatti, Structure-preserving schemes for drift-diffusion systems on general meshes: DDFV vs HFV -- S. Matera, D. Runge and C. Merdon, Reduced Basis Approach for convection-diffusion equations with non-linear boundary reaction conditions -- J. Moatti, A skeletal high-order structure preserving scheme for advection-diffusion equations -- G. Narváez, M. Ferrand, T. Fonty and S. Benhamadouche, Automatic solid reconstructionfrom 3-D points set for flow simulation via an immersed boundary method -- L. Ruan and I. Rybak, Stokes–Brinkman–Darcy Models for Coupled Free-Flow and Porous-Medium Systems -- P. Strohbeck, C. Riethmüller, D. Göddeke and I. Rybak, Robust and Efficient Preconditioners for Stokes–Darcy Problems -- C. Thomas, S. Mazen and El-Houssaine Quenjel, A DDFV Scheme for Incompressible Two-Phase Flow Degenerate Problem in Porous Media -- Author Index. |
| Record Nr. | UNINA-9910746961903321 |
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Franck Emmanuel
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric properties for parabolic and elliptic PDEs / / Vincenzo Ferone [and three others] editors
| Geometric properties for parabolic and elliptic PDEs / / Vincenzo Ferone [and three others] editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (IX, 305 p. 27 illus., 18 illus. in color.) |
| Disciplina | 515.15 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Geometric analysis
Differential equations, Parabolic Differential equations, Elliptic Geometria analítica Equacions diferencials parabòliques Equacions diferencials el·líptiques |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-73363-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910484283403321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric properties for parabolic and elliptic PDEs / / Vincenzo Ferone [and three others] editors
| Geometric properties for parabolic and elliptic PDEs / / Vincenzo Ferone [and three others] editors |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (IX, 305 p. 27 illus., 18 illus. in color.) |
| Disciplina | 515.15 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Geometric analysis
Differential equations, Parabolic Differential equations, Elliptic Geometria analítica Equacions diferencials parabòliques Equacions diferencials el·líptiques |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-73363-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466405803316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Oblique Derivative Problems for Elliptic Equations in Conical Domains / / by Mikhail Borsuk
| Oblique Derivative Problems for Elliptic Equations in Conical Domains / / by Mikhail Borsuk |
| Autore | Borsuk Mikhail |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (334 pages) |
| Disciplina | 733 |
| Collana | Frontiers in Elliptic and Parabolic Problems |
| Soggetto topico |
Mathematics
Differential equations Differential Equations Equacions diferencials el·líptiques Seccions còniques El·lipse (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| Soggetto non controllato | Mathematics |
| ISBN |
9783031283819
9783031283802 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- List of Symbols -- 1 Introduction -- 2 Preliminaries -- 2.1 Elementary Inequalities -- 2.2 Domains with a Conical Point -- 2.3 The Quasi-Distance Function r and Its Properties -- 2.4 Function Spaces -- 2.4.1 Lebesgue Spaces -- 2.4.2 Space M(G) -- 2.4.3 Regularization and Approximation by Smooth Functions -- 2.5 Hölder and Sobolev Spaces -- 2.5.1 Notations and Definitions -- 2.5.2 Sobolev Embedding Theorems -- 2.6 Weighted Sobolev Spaces -- 2.7 Spaces of Dini Continuous Functions -- 2.8 Variable Exponent Spaces -- 2.9 The Nemyckij Operator and Its Properties -- 2.10 Some Functional Analysis -- 2.11 The Cauchy Problem for Differential Inequalities -- 2.12 The Dependence of the Eigenvalues on the Coefficients of the Differential Equation -- 2.13 Basic Properties of the Gamma and Gegenbauer Functions -- 2.14 Additional Auxiliary Results -- 2.14.1 The Stampacchia Lemma -- 2.14.2 Other Assertions -- 2.15 Notes -- 3 Eigenvalue Problems -- 3.1 The Linear Eigenvalue Problem -- 3.1.1 The Eigenvalue Problem for n=2 -- 3.1.2 The Eigenvalue Problem for n≥3 -- 3.1.3 On Properties of Eigenvalues -- 3.2 The Nonlinear Eigenvalue Problem -- 4 Integral Inequalities -- 4.1 Classical Hardy Inequalities -- 4.2 The Friedrichs-Wirtinger Type Inequality -- 5 The Linear Oblique Derivative Problem for Elliptic Second Order Equation in a Domain with Conical Boundary Point -- 5.1 Preliminaries -- 5.2 Setting of the Problem -- 5.3 The Global Integral Weighted Estimate -- 5.4 Local Integral Weighted Estimates -- 5.5 The Power Modulus of Continuity -- 5.6 Examples -- 5.7 Notes -- 6 The Oblique Derivative Problem for Elliptic Second Order Semi-linear Equations in a Domain with a Conical Boundary Point -- 6.1 Setting of the Problem -- 6.2 Main Results -- 6.3 Global Integral Weighted Estimate -- 6.4 Local Integral Weighted Estimates.
6.5 Power Modulus of Continuity -- 7 Behavior of Weak Solutions to the Conormal Problem for Elliptic Weak Quasi-Linear Equations in a Neighborhood of a Conical Boundary Point -- 7.1 Setting of the Problem -- 7.2 The Maximum Principle -- 7.3 The Comparison Principle -- 7.4 The Barrier Function. The Preliminary Estimate of the Solution Modulus -- 7.5 Local Estimate at the Boundary -- 7.6 Global Integral Estimate -- 7.7 Local Integral Weighted Estimates -- 7.8 The Power Modulus of Continuity at the Conical Point for Weak Solutions -- 7.9 Example -- 7.10 Notes -- 8 Behavior of Strong Solutions to the Degenerate Oblique Derivative Problem for Elliptic Quasi-linear Equations in a Neighborhood of a Boundary Conical Point -- 8.1 Setting of the Problem -- 8.2 The Barrier Function. The Preliminary Estimate of the Solution Modulus -- 8.3 Integral Weighted Estimates -- 8.4 The Power Modulus of the Continuity at the Conical Point -- 8.5 Notes -- 9 The Oblique Derivative Problem in a Plane Sector for Elliptic Second Order Equation with Perturbed p(x)-Laplacian -- 9.1 Setting of the Problem -- 9.2 Preliminary -- 9.3 The Maximum Principle -- 9.4 The Comparison Principle -- 9.5 The Barrier Function. Estimation of the Solution Modulus -- 9.6 Proof of the Main Theorem 9.4 -- 10 The Oblique Derivative Problem in a Bounded n-Dimensional Cone for Strong Quasi-Linear Elliptic Second Order Equation with Perturbed p(x)-Laplacian -- 10.1 Setting of the Problem -- 10.2 Preliminary -- 10.3 The Maximum Principle -- 10.4 The Comparison Principle -- 10.5 The Barrier Function -- 10.6 Estimation of the Solution Modulus. The Proof of the Main Theorem 10.3 -- 11 Existence of Bounded Weak Solutions -- 11.1 Setting of the Problem -- 11.2 Proof of the Existence Theorem -- Bibliography -- Index -- Notation Index. |
| Record Nr. | UNINA-9910728949503321 |
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Borsuk Mikhail
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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