Nonlinear Evolution Equations That Change Type pp 232-242 | Cite as

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

Conference paper

## Abstract

We examine the asymptotic behavior of measure valued solutions to the initial value problem for the nonlinear heat conduction equation in a bounded domain Ω ⊂.

$$ \frac{{\partial u}}{{\partial t}} = \nabla \cdot q(\nabla u),x \in \Omega, t>0 $$

**R**^{ N }with boundary condtions of the form$$ u = 0 on \partial \Omega or q(\nabla u) \cdot n = 0 on \partial \Omega $$

## Keywords

Equilibrium Solution Fundamental Theorem Young Measure Springer Lecture Note Nonlinear Dispersive Equation
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## Copyright information

© Springer-Verlag New York Inc. 1990