Description

Book Synopsis
Develops three related tools that are useful in the analysis of partial differential equations (PDEs), arising from the classical study of singular integral operators: pseudodifferential operators, paradifferential operators, and layer potentials. This work focuses on the treatment of PDE in the presence of relatively little regularity.

Table of Contents
Pseudodifferential operators with mildly regular symbols Paradifferential operators and nonlinear estimates Applications to PDE Layer potentials on Lipschitz surfaces Bibliography List of symbols Index.

Tools for PDE

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    A Paperback by American Mathem American Mathem

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      View other formats and editions of Tools for PDE by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: 7/30/2007 12:00:00 AM
      ISBN13: 9780821843789, 978-0821843789
      ISBN10: 0821843788

      Description

      Book Synopsis
      Develops three related tools that are useful in the analysis of partial differential equations (PDEs), arising from the classical study of singular integral operators: pseudodifferential operators, paradifferential operators, and layer potentials. This work focuses on the treatment of PDE in the presence of relatively little regularity.

      Table of Contents
      Pseudodifferential operators with mildly regular symbols Paradifferential operators and nonlinear estimates Applications to PDE Layer potentials on Lipschitz surfaces Bibliography List of symbols Index.

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