Description

Book Synopsis
Contains lectures that focus on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. This title shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations.

Table of Contents
Elliptic equations with constant coefficients in $\mathbb R^d$ Laplace's equation Solvability of elliptic equations with constant coefficients in the Holder spaces Elliptic equations with variable coefficients in $\mathbb R^d$ Second-order elliptic equations in half spaces Second-order elliptic equations in smooth domains Elliptic equations in non-smooth domains Parabolic equations in the whole space Boundary-value problems for parabolic equations in half spaces Parabolic equations in domains Bibliography Index.

Lectures on Elliptic and Parabolic Equations in

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    A Hardback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: 9/30/1996 12:00:00 AM
      ISBN13: 9780821805695, 978-0821805695
      ISBN10: 082180569X

      Description

      Book Synopsis
      Contains lectures that focus on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. This title shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations.

      Table of Contents
      Elliptic equations with constant coefficients in $\mathbb R^d$ Laplace's equation Solvability of elliptic equations with constant coefficients in the Holder spaces Elliptic equations with variable coefficients in $\mathbb R^d$ Second-order elliptic equations in half spaces Second-order elliptic equations in smooth domains Elliptic equations in non-smooth domains Parabolic equations in the whole space Boundary-value problems for parabolic equations in half spaces Parabolic equations in domains Bibliography Index.

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