Lectures on Elliptic and Parabolic Equations in Holder Spaces (Graduate Studies in Mathematics No. 12)

Lectures on Elliptic and Parabolic Equations in Holder Spaces (Graduate Studies in Mathematics No. 12)

By: N. V. Krylov (author)Hardback

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These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in Holder spaces. Krylov 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. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, with nearly 200 exercises, will provide a good understanding of what kinds of results are available and what kinds of techniques are used to obtain them.

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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.

Product Details

  • publication date: 15/09/1996
  • ISBN13: 9780821805695
  • Format: Hardback
  • Number Of Pages: 166
  • ID: 9780821805695
  • weight: 533
  • ISBN10: 082180569X

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