Harmonic analysis, partial differential equations and applications : in honor of Richard L. Wheeden /: in honor of Richard L. Wheeden. (2017)

• Record Type: Book
• Further Information: Note: Sagun Chanillo, Bruno Franchi, Guozhen Lu, Carlos Perez, Eric T. Swyer, editors.
• Editors: Chanillo, Sagun, 1955-; Franchi, Bruno; Lu, Guozhen; Pérez, Carlos; Sawyer, E. T (Eric T.), 1951-
• Other Names: Wheeden, Richard L honouree.
• Contents: Preface; 1 Potential Theory and Weighted Norm Inequalities for Singular Integrals; 1.1 Singular Integrals and Weighted Inequalities; 2 Degenerate Elliptic Equations, Subelliptic Operators, and Monge-Ampére Equations; 2.1 Two Weight Norm Inequalities for Fractional Integrals; 2.2 Fefferman-Phong and Hörmander Regularity; 2.3 The Monge-Ampére Equation; 3 Papers by Richard Wheeden Referred to in the Preface; References; 4 Other Papers Referred to in the Preface; References; Contents; On Some Pointwise Inequalities Involving Nonlocal Operators; 1 Introduction; 2 Some New Inequalities. 2.1 A Pointwise Inequality for Nonlocal Operators in Non-divergence Form2.2 The Case of Translation Invariant Kernels; 2.3 Some Integral Operators on Geometric Spaces; 2.3.1 The Case of Lie Groups; 2.3.2 The Case of Manifolds; 3 A Review of the Extension Property; 3.1 The Extension Property in Rn; 3.2 The Extension Property in Bounded Domains; 3.3 The Extension Property in General Frameworks; 4 Proofs of Theorems 1.1 and 1.2; 4.1 Proof of Theorem 1.1; 4.2 Proof of Theorem 1.2; 4.3 The Results in Bounded Domains; 5 Geometric Ambient Spaces; 5.1 The Case of Manifolds; 5.2 The Case of Lie Groups. Form-Invariance of Maxwell Equations in Integral Form1 Introduction; 2 Maxwell Equations; 2.1 Maxwell Equations in Integral Form; 3 Changes of Coordinates; 4 Invariance Properties of (5)-(8); 4.1 Invariance of (5) and (6) by Changes of Coordinates; 4.2 Invariance of (7) and (8) by Changes of Coordinates; 4.3 Conclusion; References; Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics; 1 Introduction; 2 Chern-Moser-Weyl Tensor for a Levi Non-degenerate Hypersurface ; 3 Transformation Law for the Chern-Moser-Weyl Tensor; 4 A Monotonicity Theorem for the Chern-Moser-Weyl Tensor. 5 Counter-Examples to the Embeddability Problem for Compact Algebraic Levi Non-degenerate Hypersurfaces with Positive Signature into Hyperquadrics6 Non-embeddability of Compact Strongly Pseudo-Convex Real Algebraic Hypersurfaces into Spheres; References; The Focusing Energy-Critical Wave Equation; References; Densities with the Mean Value Property for Sub-Laplacians: An Inverse Problem; 1 Introduction; 2 Sub-Laplacians and Related Triples; 3 Results on the Inverse Problem for L; 4 Proofs of the Results on the Inverse Problem; Appendix: L-Superharmonic Functions; References.
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 515/.2433; 510; Mathematics; Harmonic analysis; Differential equations, Partial; Numerical analysis; MATHEMATICS -- Mathematical Analysis; MATHEMATICS -- Differential Equations -- Partial; Differential equations, Partial; Harmonic analysis; Mathematics -- Mathematical Analysis; Mathematics -- Number Systems; Complex analysis, complex variables; Numerical analysis; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books
• Languages: English
• ISBNs: 9783319527420; 3319527428
• Related ISBNs: 9783319527413; 331952741X
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 1, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.