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| INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS IN LIPSCHITZ CYLINDERS |
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Citation： |
Gao Wenjie.INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS IN LIPSCHITZ CYLINDERS[J].Chinese Annals of Mathematics B,1994,15(1):43~52 |
| Page view： 1006
Net amount： 663 |
Authors： |
Gao Wenjie; |
Foundation： |
Project supported by the National Natural Science Foundation of China |
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| Abstract： |
The initial-Dirichlet and initial-Neumann problems in Lipschitz
cylinders are studied for the general second order parabolic equations
of constant coefficients with squarely integrable boundary data. By layer
potential method developed in the past decade, the author proves that the double layer
potential and the single layer potential operators are invertible and hence
obtains the solvability of the initial boundary value problems. Also, the
solutions can be represented by these operators. |
Keywords： |
Nonsmooth domains, Initial boundary value problems, Parabolic equations. |
Classification： |
35K05, 31B25 |
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