Non-linear parabolic problem associated
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Nguyen Thanh Long; Pham Ngoc Dinh Alain
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Article
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1993
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John Wiley and Sons
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English
β 471 KB
## Abstract We study the following initial and boundary value problem: equation image In section 1, with u~0~ in L^2^(Ξ©), __f__ continuous such that __f__(u) + Ο΅ nonβdecreasing for Ο΅ positive, we prove the existence of a unique solution on (0,__T__), for each __T__ > 0. In section 2 it is proved