Ultra-parabolic equations with rough coefficients. Entropy solutions and strong precompactness property

被引：0
|
作者：
Panov E.Yu. [1 ]
机构：
[1] Novgorod State University, Velikiy Novgorod 173003, 41, Bol'shaya St.-Peterburgskaya
来源：
Journal of Mathematical Sciences | 2009年 / 159卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Compact Operator; Bounded Sequence; Entropy Solution; Distributional Solution; Fourier Multiplier;
D O I：
10.1007/s10958-009-9434-y
中图分类号：
学科分类号：
摘要：
Under some nondegeneracy condition, we show that sequences of entropy and approximate solutions of a semilinear ultra-parabolic equation are strongly precompact in the general case of a Caratheodory flux vector and a diffusion matrix. The proofs are based on localization principles for the parabolic H-measures corresponding to sequences of measure-valued functions. Bibliography: 21 titles. © 2009 Springer Science+Business Media, Inc.
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页码：180 / 228
页数：48
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