节点文献
Global Solutions to the Second Initial Boundary Value Problem for Fully Nonlinear Parabolic Equations
【摘要】 <正> This paper is concerned with the global existence of the second initial boundary valueproblem for fully nonlinear parabolic equations. It is proved that when the initial data is sufficiently small,the problem admits a unique global solution. Moreover, as t goes to + ∞, the solution exponentially decaysto zero.
【Abstract】 This paper is concerned with the global existence of the second initial boundary value problem for fully nonlinear parabolic equations. It is proved that when the initial data is sufficiently small, the problem admits a unique global solution. Moreover, as t goes to + ∞, the solution exponentially decays to zero.
【关键词】 concerned；
exponentially；
parabolic；
regularity；
proof；
uniqueness；
semilinear；
Nirenberg；
assumptions；
sufficiently；
- 【文献出处】 Acta Mathematica Sinica ,数学学报(英文版) , 编辑部邮箱 ,1987年03期
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