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Measure Theory and Nonlinear Evolution Equations De Gruyter Studies in Mathematics 86 1st Edition by Flavia Smarrazzo, Alberto Tesei ISBN 3110556049 9783110556049

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Measure Theory and Nonlinear Evolution Equations 1st Edition Flavia Smarrazzo Digital Instant Download

Author(s): Flavia Smarrazzo, Alberto Tesei
ISBN(s): 9783110556049, 3110556049
Edition: 1
File Details: PDF, 7.34 MB
Year: 2022
Language: english
SKU: EB-44456786 Category: Tags: ,

Measure Theory and Nonlinear Evolution Equations (De Gruyter Studies in Mathematics 86) 1st Edition by Flavia Smarrazzo, Alberto Tesei – Ebook PDF Instant Download/Delivery: 3110556049, 9783110556049

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Product details:

ISBN 10: 3110556049

ISBN 13: 9783110556049

Author:  Flavia Smarrazzo, Alberto Tesei 

Measure Theory and Nonlinear Evolution Equations (De Gruyter Studies in Mathematics 86) 1st Edition : This text on measure theory with applications to partial differential equations covers general measure theory, Lebesgue spaces of real-valued and vector-valued functions, different notions of measurability for the latter, weak convergence of functions and measures, Radon and Young measures, capacity. A comprehensive discussion of applications to quasilinear parabolic and hyperbolic problems is provided.

 

Measure Theory and Nonlinear Evolution Equations (De Gruyter Studies in Mathematics 86) 1st Edition Table of contents:

    • Radon measure-valued solutions of elliptic and parabolic PDEs

    • Young and Radon measure-valued solutions of hyperbolic conservation laws

    • Young and Radon measure-valued solutions of ill-posed problems

    • Mathematical Tools

    • Contents and Brief User’s Guide

  • Part I – General Theory

    • Measure theory
    • Scalar integration and differentiation
    • Function spaces and capacity
    • Vector integration
    • Sequences of finite Radon measures

  • Part II – Applications

    • Case study 1: Quasilinear parabolic equations
    • Case study 2: Hyperbolic conservation laws
    • Case study 3: Forward–backward parabolic equations

 

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