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math.AP2014
Hölder continuity of a bounded weak solution of generalized parabolic Laplacian equations
Sukjung Hwang, Gary M. Lieberman
Here we generalize quasilinear parabolic Laplacian type equations to obtain the prototype equation as \[ u_t - \text{div} (g(|Du|)/ |Du| \cdot Du) = 0, \] where a nonnegative,…
math.AP2014★ 6 cited
The Dirichlet boundary problem for second order parabolic operators satisfying Carleson condition
Martin Dindoš, Sukjung Hwang
We establish , solvability of the Dirichlet boundary value problem for a parabolic equation $u_t-\mbox{div}(A\nabla u)=0$ on time-varying domains with coeffi…