Existence and Uniqueness of Solution for a Parabolic Quasilinear Problem for Linear Growth Functionals with L1 Data
نویسنده
چکیده
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A tipical example of energy functional we consider is the one given by the nonparametric area integrand f (x;) = p 1 + kk 2 , which corresponds with the time-dependent minimal surface equation. We also study the asimptotic behavoiur of the solutions.
منابع مشابه
A Parabolic Quasilinear Problem for Linear Growth Functionals
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth. A tipical example of energy functional we consider is the one given by the nonparametric area integrand f (x;) = p 1 + kk 2 , which corresponds with the time-dependent minimal surface equation. We also study the asimpto...
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تاریخ انتشار 2001