Description

Book Synopsis
Provides an extensive survey of many important topics in the theory of Hamilton-Jacobi equations with particular emphasis on modern approaches and viewpoints. The book is self-contained and is useful for a course or for reference. It can also serve as a gentle introductory reference to the homogenization theory.

Table of Contents
  • Introduction to viscosity solutions for Hamilton-Jacobi equations
  • First-order Hamilton-Jacobi equations with convex Hamiltonians
  • First-order Hamilton-Jacobi equations with possibly nonconvex Hamiltonians
  • Periodic homogenization theory for Hamilton-Jacobi equations
  • Almost periodic homogenization theory for Hamilton-Jacobi equations
  • First-order convex Hamilton-Jacobi equations in a torus
  • Introduction to weak KAM theory
  • Further properties of the effective Hamiltonians in the convex setting
  • Notations
  • Sion's minimax theorem
  • Characterization of the Legendre transform
  • Existence and regularity of minimizers for action functionals
  • Boundary value problems
  • Sup-convolutions
  • Sketch of proof of Theorem 6.26
  • Solutions to some exercises
  • Bibliography
  • Index

HamiltonJacobi Equations Theory and Applications

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    £67.50

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    RRP £75.00 – you save £7.50 (10%)

    Order before 4pm today for delivery by Mon 22 Jun 2026.

    A Paperback by Hung Vinh Tran

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      View other formats and editions of HamiltonJacobi Equations Theory and Applications by Hung Vinh Tran

      Publisher: MP-AMM American Mathematical
      Publication Date: 1/30/2022 12:00:00 AM
      ISBN13: 9781470465551, 978-1470465551
      ISBN10: 1470465558

      Description

      Book Synopsis
      Provides an extensive survey of many important topics in the theory of Hamilton-Jacobi equations with particular emphasis on modern approaches and viewpoints. The book is self-contained and is useful for a course or for reference. It can also serve as a gentle introductory reference to the homogenization theory.

      Table of Contents
      • Introduction to viscosity solutions for Hamilton-Jacobi equations
      • First-order Hamilton-Jacobi equations with convex Hamiltonians
      • First-order Hamilton-Jacobi equations with possibly nonconvex Hamiltonians
      • Periodic homogenization theory for Hamilton-Jacobi equations
      • Almost periodic homogenization theory for Hamilton-Jacobi equations
      • First-order convex Hamilton-Jacobi equations in a torus
      • Introduction to weak KAM theory
      • Further properties of the effective Hamiltonians in the convex setting
      • Notations
      • Sion's minimax theorem
      • Characterization of the Legendre transform
      • Existence and regularity of minimizers for action functionals
      • Boundary value problems
      • Sup-convolutions
      • Sketch of proof of Theorem 6.26
      • Solutions to some exercises
      • Bibliography
      • Index

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