Elliptic partial differential equations with almost-real coefficients

Elliptic partial differential equations with almost-real coefficients

by Barton, Ariel

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Title Statements

  • Full title :Elliptic partial differential equations with almost-real coefficients / Ariel Barton.

Edition Statements

  • Publication Date:©2012

Publication Statements

Notes

"May 2013 , Volume 223, Number 1051 (fifth of 5 numbers)."

The Physical Object

  • Description:1 online resource (106 p.).

Edition Identifiers

  • ISBN:0821898752, 9780821898758
  • oclc:on1162174811
  • LC Classification:QA329.42
  • Dewey Decimal:515.3533

Table of Contents

""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. History""; ""Chapter 2. Definitions and the Main Theorem""; ""2.1. Geometric definitions""; ""2.2. Definitions of function spaces""; ""2.3. Layer potentials""; ""2.4. The main theorem""; ""2.5. Additional definitions""; ""Chapter 3. Useful Theorems""; ""3.1. Nontangential maximal functions""; ""3.2. Bounds on solutions""; ""3.3. Existence results""; ""3.4. Preliminary uniqueness results""; ""3.5. The Neumann and regularity problems in unusual domains""; ""Chapter 4. The Fundamental Solution""

""4.1. A fundamental solution exists""""4.2. Uniqueness of the fundamental solution""; ""4.3. Symmetry of the fundamental solution""; ""4.4. Conjugates to the fundamental solution""; ""4.5. Calderón-Zygmund kernels""; ""4.6. Analyticity""; ""Chapter 5. Properties of Layer Potentials""; ""5.1. Limits of layer potentials and the adjoint formulas""; ""Chapter 6. Boundedness of Layer Potentials""; ""6.1. Proof for a small Lipschitz constant: preliminary remarks""; ""6.2. A B for the TB theorem""; ""6.3. Weak boundedness of operators""; ""6.4. The adjoint inequalities""

""6.5. Proof for a small Lipschitz constant: final remarks""""…

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Subjects

Differential equations, Elliptic Differential Equations, Partial Équations aux dérivées partielles Équations différentielles elliptiques

Writers

Barton, Ariel

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