CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

doi:10.1016/S0252-9602(10)60161-0

Abstract

Abstract:

In this article, it is shown that there exists a unique viscosity solution of the Cauchy problem for a degenerate parabolic equation with non-divergence form.

Key words: degenerate parabolic equation, viscosity solution, uniqueness, existence

CLC Number:

35K55

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ZHOU Wen-Shu, YAO Zheng-An. CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM[J].Acta mathematica scientia,Series B, 2010, 30(5): 1679-1686.

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URL: http://121.43.60.238/sxwlxbB/EN/10.1016/S0252-9602(10)60161-0

http://121.43.60.238/sxwlxbB/EN/Y2010/V30/I5/1679

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References

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[3] Hulshof J, Vazquez J L. Maximal viscosity solutions of the modified porous medium equation and their asymptotic behavior. European J Appl Math, 1996, 7: 453--471

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