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- W2068163048 abstract "We consider a class of intial boudnary value problems for parabolic equaitons of the form u$sub:t$esub:=f(t,x,u,Du,au) in a bounded domain Ω where A is an elliptic operator with continous coefficients. Scuh problems can be modeled by nonlinear evolation equaitons in Banach spaces, and we use abstract parabolic equairtions technique to show existence, uniqueness, regularity of a local solution, and to give sufficient conditions for existence in the large. In particular, we don't need growth assumptions on f with respect to Au to get existence in the large. In the case where Ω is a ball, A=D and f=f(t,|x||Du|2, Du) we show that the solution is radially symmetric if the initial value is" @default.
- W2068163048 created "2016-06-24" @default.
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- W2068163048 date "1991-01-01" @default.
- W2068163048 modified "2023-10-16" @default.
- W2068163048 title "On a Class of Fully Nonlinear Parabolic Equations" @default.
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- W2068163048 doi "https://doi.org/10.1080/03605309108820754" @default.
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