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Method of Layer Potentials for the Heat Equation in Time-Varying Domains.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1995Copyright date: ©1995Edition: 1st edDescription: 1 online resource (170 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470401245
Subject(s): Genre/Form: Additional physical formats: Print version:: Method of Layer Potentials for the Heat Equation in Time-Varying DomainsDDC classification:
  • 510 s
LOC classification:
  • QA3 -- .L495 1995eb
Online resources:
Contents:
Intro -- Contents -- Chapter I. Singular Integrals -- 0. Introduction -- 1. A T1 Theorem -- 2. Basic Estimates -- 3. Estimates for a Recursively-Defined Family of Operators -- 4. More Singular Integrals -- 5. Proof of Theorem 1 -- 6. References -- Chapter II. The David Buildup Scheme -- 1. Introduction -- 2. Key Lemma -- 3. The David Buildup Scheme: Part 1 -- 4. The David Buildup Scheme: Part 2 -- 5. Proof of Theorems 1-3 -- 6. Further Results -- 7. References -- Chapter III. Absolute Continuity and Dirichlet-Neumann Problems -- 1. Introduction -- 2. Nontangential Limits -- 3. Extension Lemmas -- 4. Proof of Theorem 1 in a Special Case -- 5. Proof of Theorem 1 -- 6. Proof of Theorems 2-4 -- 7. Closing Remarks -- 8. References.
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Intro -- Contents -- Chapter I. Singular Integrals -- 0. Introduction -- 1. A T1 Theorem -- 2. Basic Estimates -- 3. Estimates for a Recursively-Defined Family of Operators -- 4. More Singular Integrals -- 5. Proof of Theorem 1 -- 6. References -- Chapter II. The David Buildup Scheme -- 1. Introduction -- 2. Key Lemma -- 3. The David Buildup Scheme: Part 1 -- 4. The David Buildup Scheme: Part 2 -- 5. Proof of Theorems 1-3 -- 6. Further Results -- 7. References -- Chapter III. Absolute Continuity and Dirichlet-Neumann Problems -- 1. Introduction -- 2. Nontangential Limits -- 3. Extension Lemmas -- 4. Proof of Theorem 1 in a Special Case -- 5. Proof of Theorem 1 -- 6. Proof of Theorems 2-4 -- 7. Closing Remarks -- 8. References.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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