Quasilinear anisotropic degenerate parabolic equations with time-space dependent diffusion coefficients
We study the well-posed ness of discontinuous entropy solutions to quasilinear anisotropic degenerate parabolic equations with explicit (t,x)-dependence: ∂tu + ∑i=1d ∂xifi(u,t,x) = ∑i,j=1d ∂xj (aij (u,t,x)∂xi u), where a(u,t,x) = (aij(u,t,x)) = σa(u,t,x) σa(u,t,x)T is nonnegative definite and each x...
Main Authors: | Chen, G, Karlsen, K |
---|---|
Format: | Journal article |
Language: | English |
Published: |
2005
|
Similar Items
-
L 1-Framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations
by: Chen, G, et al.
Published: (2006) -
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation
by: Zongqi Liang, et al.
Published: (2009-01-01) -
Weak solutions for quasilinear degenerate parabolic systems
by: Zheng'an Yao, et al.
Published: (2006-07-01) -
Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
by: Katsuyuki Ishii, et al.
Published: (2023-02-01) -
Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing
by: Chen, G-QG, et al.
Published: (2021)