Boundary value problems for heat equation with certain potentials in Lipschitz cylinders

Lin Tang

doi:10.1515/form.2011.164

Published by De Gruyter November 19, 2011

Boundary value problems for heat equation with certain potentials in Lipschitz cylinders

Lin Tang

From the journal Forum Mathematicum

https://doi.org/10.1515/form.2011.164

Showing a limited preview of this publication:

Abstract

The Dirichlet and Neumann problems of heat equation with certain potentials of the form ∂t-Δ+V=0 in Lipschitz cylinders are studied, where V is a nonnegative potential satisfying certain conditions.

Keywords: Nonnegative potential; Lipschitz cylinder

MSC: 35J10; 42B20

Funding source: NNSF of China

Award Identifier / Grant number: 10971002

Funding source: NNSF of China

Award Identifier / Grant number: 10871003

The author would like to thank the referee for some valuable suggestions.

Received: 2011-9-13

Revised: 2011-10-24

Published Online: 2011-11-19

Published in Print: 2014-3-1

Boundary value problems for heat equation with certain potentials in Lipschitz cylinders

Abstract

Journal and Issue

Articles in the same Issue