On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient.

Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.

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Relaxation approximations and bounded variation estimates for some partial differential equations.

Caicedo, Francisco, Lu, Yunguang, Supúlveda, Mauricio (2002)

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Finite volume schemes for nonlinear parabolic problems: another regularization method

Eymard, R., Gallouët, T., Herbin, R.

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Existence of solutions for nonlinear parabolic systems via weak convergence of truncations.

Azroul, Elhoussine, Redwane, Hicham, Rhoudaf, Mohamed (2010)

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Singular Perturbations for a Class of Degenerate Parabolic Equations with Mixed Dirichlet-Neumann Boundary Conditions

Marie-Josée Jasor, Laurent Lévi (2003)

Annales mathématiques Blaise Pascal

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We establish a singular perturbation property for a class of quasilinear parabolic degenerate equations associated with a mixed Dirichlet-Neumann boundary condition in a bounded domain of $ℝ^{p}$ , $1 \leq p < + \infty$ . In order to prove the $L^{1}$ -convergence of viscous solutions toward the entropy solution of the corresponding first-order hyperbolic problem, we refer to some properties of bounded sequences in $L^{\infty}$ together with a weak formulation of boundary conditions for scalar conservation laws.

Weak solutions for quasilinear degenerate parabolic systems.

Yao, Zheng&#039;an, Zhou, Wenshu (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations.

Holden, Helge, Karlsen, Kenneth H., Risebro, Nils H. (2003)

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Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws.

Neves, Wladimir, Serre, Denis (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Existence and uniqueness of classical solutions to certain nonlinear integro-differential Fokker-Planck type equations.

Akhmetov, Denis R., Lavrentiev, Mikhail M.jun., Spigler, Renato (2002)

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