Displaying similar documents to “Uniqueness of solution of a singular heat equation.”

Backward solutions to nonlinear integro-differential systems

Yuzhen Bai (2010)

Open Mathematics

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In this paper, we show the backward uniqueness in time of solutions to nonlinear integro-differential systems with Neumann or Dirichlet boundary conditions. We also discuss reasonable physical interpretations for our conclusions.

Homogenization of a boundary condition for the heat equation

Ján Filo, Stephan Luckhaus (2000)

Journal of the European Mathematical Society

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An asymptotic analysis is given for the heat equation with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann type. We try to present a general framework where deterministic homogenization methods can be applied to calculate the second term in the asymptotic expansion with respect to the small parameter characterizing the oscillations.