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Extended Abstracts 2021/2022 [[electronic resource] ] : Ghent Analysis and PDE Seminar / / edited by Michael Ruzhansky, Karel Van Bockstal
| Extended Abstracts 2021/2022 [[electronic resource] ] : Ghent Analysis and PDE Seminar / / edited by Michael Ruzhansky, Karel Van Bockstal |
| Autore | Ruzhansky Michael |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
| Descrizione fisica | 1 online resource (302 pages) |
| Disciplina | 515 |
| Altri autori (Persone) | Van BockstalKarel |
| Collana | Research Perspectives Ghent Analysis and PDE Center |
| Soggetto topico |
Mathematical analysis
Functional analysis Analysis Functional Analysis |
| ISBN | 3-031-42539-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I Analysis -- A note on a Capelli operator and its resonance -- Schatten-von Neumann classes Sp on the torus for 0 < p ≤ 2 -- Log-Sobolev and Nash inequalities on graded groups -- One-sided Hardy-Littlewood maximal function on generalised Lorentz spaces -- Remarks on gradient Yamabe solitons -- Boundedness of Fourier multipliers on fundamental domains of lattices -- Pointwise domination and weak L1 boundedness of Littlewood-Paley operators via sparse operators -- Hp → Lp boundedness of Fourier multipliers on graded Lie groups -- On a reverse integral Hardy inequality on polarisable metric measure space -- Logarithmic Sobolev inequalities of fractional order on noncommutative tori -- The Prabhakar fractional q-integral and q-differential operators -- A note on weak type boundedness of pseudo-differential operators on rank one symmetric spaces of noncompact type -- Lp-Lq norms ofspectral multipliers -- Estimates for oscillatory integrals with discontinuous amplitude -- The unitary dual of the Heisenberg group over Rp -- Critical Sobolev-type identities and inequalities on stratified Lie groups -- Part II Partial differential equations -- Anisotropic Picone type identities for general vector fields and some applications -- An equivalence between the Neumann problem and its boundary domain integral equation systems for Stokes equations -- Short note on generalised bivariate Mittag-Leffler-type functions -- Inverse problems for time-fractional mixed equation involving the Caputo fractional derivative -- Time dependent inverse source problems for integrodifferential Kelvin-Voigt system -- A nonlocal initial conditional boundary value problem on metric graph -- Second-order semiregular non-commutative harmonic oscillators: the spectral zeta function -- Global well-posedness with loss of regularity for a class of singular hyperbolic Cauchy problems -- On a mixed equationinvolving Prabhakar fractional order integral-differential operators -- Inverse problem of determining a time-dependent source in a fractional Langevin-type partial differential equation -- Very weak solution of the discrete wave equation for harmonic oscillator -- An estimate for the multivariate Mittag-Leffler function -- Part III Mathematical modelling -- Mathematical modelling of the Lomb-Scargle method in astrophysics -- The application of physics informed networks to solve hyperbolic partial differential equations with nonconvex flux function and diffusion term -- Fractional differential equations: a primer for structural dynamics applications -- Text matching as time series matching -- Performing Particle Image Segmentation on an Extremely Small Dataset -- Two-dimensional dispersed composites on a square torus. |
| Record Nr. | UNINA-9910845084003321 |
Ruzhansky Michael
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| Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Extended Abstracts MWCAPDE 2023 : Methusalem Workshop on Classical Analysis and Partial Differential Equations
| Extended Abstracts MWCAPDE 2023 : Methusalem Workshop on Classical Analysis and Partial Differential Equations |
| Autore | Ruzhansky Michael |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2024 |
| Descrizione fisica | 1 online resource (239 pages) |
| Altri autori (Persone) | TorebekBerikbol |
| Collana | Trends in Mathematics Series |
| ISBN | 3-031-41665-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Part I Theory of Functional Analysis, Operator Theory, and Applications -- Mappings of Finite Area Distortion: Hausdorff Measures -- 1 Introduction -- 2 Main Notions and Axillary Results -- 3 Main Results -- References -- The Principal Symbol of Elliptic Differential Operators on Lie Groups and Homogeneous Spaces -- 1 Introduction -- 2 Vector Bundles over Lie Groups Defined by Representations -- 3 Elliptic Differential Operators and Principal Symbols -- 4 Vector Bundles over Homogeneous Spaces and Bott's Induction -- 4.1 Laplacian on G -- 4.2 De Rham Operator on Sn -- References -- On Fractional Quaternionic d-Bar Derivatives -- 1 Introduction -- 2 The Main Definition -- 3 Composition Results -- 4 Fueter Variables and Polynomials -- References -- A Note on Homogeneous Geometry of G2-Type Real Flag Manifolds -- 1 Introduction -- 2 Preliminaries -- 2.1 A Model for g2 -- 2.2 A Root System -- 2.3 Real Flag Manifolds of g2 -- 3 Homogeneous Metrics -- 3.1 The Isotropy Representation -- 3.2 K-Invariant Metrics -- 4 The Homogeneous Ricci Flow for ={α1} -- References -- Titchmarsh Theorems for Fourier Transforms of Hölder-Lipschitz Functions on Fundamental Domains of Lattices in Rd -- 1 Introduction -- 2 Titchmarsh Theorems for Hölder-Lipschitz Spaces -- 2.1 Additive Case -- 2.2 Multiplicative Case -- 3 Titchmarsh Theorems for Dini-Lipschitz Spaces -- 3.1 Additive Case -- 3.2 Multiplicative Case -- 4 Moduli of Continuity -- References -- Semi-sparsity for Triangular Mesh Denoising -- 1 Introduction -- 2 Preliminaries -- 2.1 Notation -- 2.2 Piecewise Linear Function Spaces and Differential Operators -- 3 Semi-sparsity Regularization for Mesh Denoising -- 3.1 Problem Formulation -- 3.2 The Efficient ADMM Solver -- 3.2.1 The N-Subproblem -- 3.2.2 The P-Subproblem -- 3.2.3 The Q-Subproblem -- 4 Experimental Results.
References -- Super-Resolution Reconstruction from Truncated Fourier Transform -- 1 Introduction -- 2 Preliminaries -- 3 Reconstruction Formulas from [1] -- 4 Numerical Results of [2] -- References -- Interpolation Theorem for Discrete Net Spaces -- References -- Titchmarsh Theorem by Modulus of Continuity for the Deformed Hankel-Lipschitz Classes -- 1 Introduction -- 2 Preliminaries -- 2.1 Modulus of Continuity -- 2.2 The Deformed Hankel Theory on R -- 3 Statements of the Results -- References -- Titchmarsh Theorems for Hölder-Lipschitz Functions on Profinite Groups -- References -- An Efficient Neural Network for the Diagnosis of Parkinson's Disease Using Dynamic Handwriting Analysis -- 1 Introduction -- 2 Materials -- 3 Data Processing -- 4 LSTM-CNN -- 5 Experiments -- 6 Conclusions -- References -- Part II Classical and Non-classical Problems of PDEs -- On q2-Analogue of the One-Dimensional Non-Homogeneous Heat Equation -- 1 Introduction -- 2 Preliminaries -- 3 Main Result -- References -- Non-local and Inverse Problems for the Rayleigh-Stokes Equation -- 1 Introduction -- 2 Non-local Problem -- 3 Inverse Problem -- References -- Very Weak Solution of the Discrete Heat Equation with Irregular Time-Dependent Thermal Conductivity -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- References -- On a Mixed Stokes Problem with Variable Viscosity in the 2D Exterior Domain -- 1 Introduction -- 2 Preliminaries -- 3 Parametrix and Remainder -- 3.1 Volume and Surface Potentials -- 4 The Third Green Identities -- 5 BDIEs for Mixed BVP -- References -- The Mixed Initial-Boundary Value Problem for Degenerate Hyperbolic Equation -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- References -- A Criterion for Minimality of the Mixed Type Operators -- 1 Introduction -- 2 Main Results -- References. An Analogue of the d'Alembert Formula for the Gurtin-Pipkin Equation with Multipoint Boundary Conditions for Zero Initial Data -- 1 Introduction -- 2 On the Solvability of a Single Multipoint Problem -- 3 An Analogue of the d'Alembert Formula for a Mixed Problem for the Gurtin-Pipkin Equation -- References -- On Fredholm Solvability and on the Index of the Generalized Neumann Problem for an Elliptic Equation of High Order on a Plane -- 1 Introduction -- 2 Description of the Fredholm Property of Problem (1.1),(1.2) -- 3 Equivalence of the Fredholm Property Condition for Problem (1.1), (1.2) to the Complementarity Condition -- 4 Continuation of the Description of the Fredholm Property Condition for Problem (1.1), (1.2) -- References -- Solutions with Power Type or Exponential Singularity for (3+1)-D Protter-Morawetz Problems -- 1 Introduction and History -- 2 Generalized Solutions with Power-Type Singularity -- 3 Generalized Solutions with Exponential Singularity -- References -- Boundary Value Problems for Differential Equations with a High-Order Derivative in the Boundary Condition -- 1 Introduction -- 2 How Do Orthogonality Conditions Arise? -- 3 Orthogonality Conditions by the Method of Separation of Variables -- 4 Problem in the Class of Singular Solutions -- 5 Conditions for the Uniqueness of the Solution of the Problem -- 6 On One Well-Posed Problem with a High Derivative on the Boundary of the Domain -- References -- A Cauchy Problem for q-Heat Equation -- 1 Introduction -- 2 Preliminaries -- 3 A Cauchy for the q-Heat Equation -- References -- Evolutionary PDEs with Volterra Operators: Direct and Inverse Source Problems -- 1 Introduction -- 2 Fractional Calculus -- 2.1 Direct Parabolic Problem -- 2.2 Parabolic Inverse Source Problem -- 2.3 Hyperbolic Direct Problem -- 2.4 Hyperbolic Inverse Source Setting. 3 Some Open Problems for VO Time-Fractional Derivatives -- References -- Inverse Source Problems in Thermoelasticity -- 1 Introduction -- 2 Identification of the Space-Dependent Sources fp and fh -- 3 Identification of the Time-Dependent Source gh -- References -- A Direct Method of Moving Planes for Logarithmic Schrödinger Operator -- 1 Introduction -- 2 Key Ingredients for the Method of Moving Planes -- 3 Proof of the Main Theorem -- References. |
| Record Nr. | UNINA-9910847079203321 |
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Ruzhansky Michael
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| Cham : , : Springer International Publishing AG, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hardy Inequalities on Homogeneous Groups [[electronic resource] ] : 100 Years of Hardy Inequalities / / by Michael Ruzhansky, Durvudkhan Suragan
| Hardy Inequalities on Homogeneous Groups [[electronic resource] ] : 100 Years of Hardy Inequalities / / by Michael Ruzhansky, Durvudkhan Suragan |
| Autore | Ruzhansky Michael |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham, : Springer Nature, 2019 |
| Descrizione fisica | 1 online resource (XVI, 571 p. 1 illus.) |
| Disciplina |
512.55
512.482 |
| Collana | Progress in Mathematics |
| Soggetto topico |
Topological groups
Lie groups Potential theory (Mathematics) Partial differential equations Harmonic analysis Functional analysis Differential geometry Topological Groups, Lie Groups Potential Theory Partial Differential Equations Abstract Harmonic Analysis Functional Analysis Differential Geometry |
| Soggetto non controllato |
Mathematics
Topological groups Lie groups Potential theory (Mathematics) Partial differential equations Harmonic analysis Functional analysis Differential geometry |
| ISBN | 3-030-02895-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Analysis on Homogeneous Groups -- Hardy Inequalities on Homogeneous Groups -- Rellich, Caarelli-Kohn-Nirenberg, and Sobolev Type Inequalities -- Fractional Hardy Inequalities -- Integral Hardy Inequalities on Homogeneous Groups -- Horizontal Inequalities on Stratied Groups -- Hardy-Rellich Inequalities and Fundamental Solutions -- Geometric Hardy Inequalities on Stratied Groups -- Uncertainty Relations on Homogeneous Groups -- Function Spaces on Homogeneous Groups -- Elements of Potential Theory on Stratified Groups -- Hardy and Rellich Inequalities for Sums of Squares -- Bibliography -- Index. |
| Record Nr. | UNINA-9910349351603321 |
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Ruzhansky Michael
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| Cham, : Springer Nature, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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