Method of Layer Potentials for the Heat Equation in Time-Varying Domains.
Lewis, John L.
Method of Layer Potentials for the Heat Equation in Time-Varying Domains. - 1st ed. - 1 online resource (170 pages) - Memoirs of the American Mathematical Society ; v.114 . - Memoirs of the American Mathematical Society .
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.
9781470401245
Heat equation.
Singular integrals.
Electronic books.
QA3 -- .L495 1995eb
510 s
Method of Layer Potentials for the Heat Equation in Time-Varying Domains. - 1st ed. - 1 online resource (170 pages) - Memoirs of the American Mathematical Society ; v.114 . - Memoirs of the American Mathematical Society .
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.
9781470401245
Heat equation.
Singular integrals.
Electronic books.
QA3 -- .L495 1995eb
510 s