一类非散度型退化抛物方程Cauchy问题粘性解的某种连续性

Certain continuity of viscosity solutions of the Cauchy problemfor a degenerate parabolic equations not in divergence form

ZHOU Wen-shu, CAI Shou-feng

Department of Applied Mathematics, College of Mathematics, Jilin University, Changchun 130012, China

Received:2004-01-06 Revised:1900-01-01 Online:2004-07-26 Published:2004-07-26
Contact: ZHOU Wen-shu

Abstract

Abstract: The property of the viscosity solutions of the Cauchy problem of a degenerate parabolic equation not in divergence form is studied. The viscosity solution means a weak solution in the distribution sense obtained by the vanishing viscosity method. Using some techiques of studying weak solutions and establishing some estimates on the viscosity solution, we prove the continuity of the viscosity solution with respect to aparameter contained in the equations.

Key words: viscosity solution, not in divergence form, degenerate parabolic equation, continuity

CLC Number:

O175.26

ZHOU Wen-shu, CAI Shou-feng. Certain continuity of viscosity solutions of the Cauchy problemfor a degenerate parabolic equations not in divergence form[J].J4, 2004, 42(03): 341-345.

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Certain continuity of viscosity solutions of the Cauchy problemfor a degenerate parabolic equations not in divergence form

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