QUASILINEAR ANISOTROPIC DEGENERATE PARABOLIC EQUATIONS WITH TIME-SPACE DEPENDENT DIFFUSION COEFFICIENTS

By Gui-Qiang G. Chen, Kenneth Hvistendahl Karlsen. 2005

95 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/cd9d8d27d54198f790fb0719739468126e9dc3cc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Gui-Qiang G. Chen
2. Yachun Li
3. Qin Wang
4. Qian Ding
5. Kenneth Hvistendahl Karlsen
6. Espen Robstad Jakobsen
7. Monica Torres
8. Julien Vovelle

In Computational Theory and Mathematics

1. Gui-Qiang G. Chen
2. Yachun Li
3. Qin Wang
4. Qian Ding
5. Kenneth Hvistendahl Karlsen
6. Mario Ohlberger
7. Raimund Bürger
8. Nils Henrik Risebro

In Numerical Analysis

1. Qian Ding
2. Kenneth Hvistendahl Karlsen
3. Gui-Qiang G. Chen

Citations in the corpus

• Renormalized entropy solutions of homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations (2012, background): “Karlsen [8] proved the well-posedness result for the homogeneous boundary value problem of doubly nonlinear degenerate parabolic equation with a special anisotropic diffusion matrix of diagonal form.”
• Stability and Total Variation Estimates on General Scalar Balance Laws (2008, unknown): “An flow dependent also on x was considered in [4, 9], though in the special case f(x, u) = l(x) g(u), but with a source term containing a possibly degenerate parabolic operator.”
• On Nonlinear Stochastic Balance Laws (2011, methodology): “Relevant continuous dependence results for deterministic conservation laws have been obtained in [17, 2], and in [4] for strongly degenerate parabolic equations; see also [3, 11].”