THE GENERAL INITIAL-BOUNDARY VALUE PROBLEMS FOR LINEARHYPERBOLIC-PARABOLIC COUPLED SYSTEM

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Li Dening.THE GENERAL INITIAL-BOUNDARY VALUE PROBLEMS FOR LINEARHYPERBOLIC-PARABOLIC COUPLED SYSTEM[J].Chinese Annals of Mathematics B,1987,8(4):408~424
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Authors:

Li Dening;
Abstract: In this paper, the author considers the general initial boundary value problem of hypierbolic-parabolic coupled system and gives the normal form of boundary conditions, sufficient and necessary for the BVP and the conjugate BVP to be well- posed, Furthermore, the author proves the existence of differentiable solution in Sobolev spaces of high order.

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