Measure Valued Solutions to a Backward-Forward Heat Equation: A Conference Report

  • M. Slemrod
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 27)

Abstract

We examine the asymptotic behavior of measure valued solutions to the initial value problem for the nonlinear heat conduction equation
$$ \frac{{\partial u}}{{\partial t}} = \nabla \cdot q(\nabla u),x \in \Omega, t>0 $$
in a bounded domain Ω ⊂R N with boundary condtions of the form
$$ u = 0 on \partial \Omega or q(\nabla u) \cdot n = 0 on \partial \Omega $$
.

Keywords

Radon 

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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • M. Slemrod
    • 1
  1. 1.Center for Mathematical SciencesUniversity of WisconsinMadisonUSA

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