Stability for semilinear parabolic equations with noninvertible linear operator
作者： Milan Miklavčič
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摘要: Suppose that x'(t)+Ax(ί) = /(*,*( 0, is a semϋinear parabolic equation, e~Al bounded and / satisfies the usual continuity condition. If for some 0 1, γ>i, ||/"^e- "|| whenever ||Λαjt|| 4- ||x|| small enough, then initial data there exist stable global solutions. Moreover, if space reflexive their limit states exist. Some theorems are useful obtaining above bounds examples also presented.
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