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Wavefront Propagation for Reaction-Diffusion Systems of PDE.

Author: G Barles; L C Evans; P E Souganidis; BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS.
Publisher: Ft. Belvoir : Defense Technical Information Center, MAR 1989.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
The theory of viscosity solutions for Hamilton-Jacobi equations is used to study the asymptotic behavior of solutions to certain systems of reaction-diffusion PDE. Our principal result characterizes the region of convergence of the solution to an unstable rest point as the set where the solution of an appropriate Hamilton-Jacobi equation is positive. Keywords include: Partial differential equations; Wavefront  Read more...
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Document Type: Book
All Authors / Contributors: G Barles; L C Evans; P E Souganidis; BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS.
OCLC Number: 227748581
Description: 35 p. ; 23 x 29 cm.

Abstract:

The theory of viscosity solutions for Hamilton-Jacobi equations is used to study the asymptotic behavior of solutions to certain systems of reaction-diffusion PDE. Our principal result characterizes the region of convergence of the solution to an unstable rest point as the set where the solution of an appropriate Hamilton-Jacobi equation is positive. Keywords include: Partial differential equations; Wavefront propagation.

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