A kinetic approach in nonlinear parabolic problems with \(L^1\)-data

DOI10.4171/ZAA/1462zbMath1255.35140OpenAlexW2011685404MaRDI QIDQ713226

Julien Vovelle, Michel Pierre

Publication date: 26 October 2012

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1462

zbMATH Keywords

Cauchy-Dirichlet problemrenormalized solutionkinetic formulation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ordinary differential equations, transport theory and Sobolev spaces
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
• Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms
• Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
• Stefan problems with nonlinear diffusion and convection
• On mild and weak solutions of elliptic-parabolic problems
• Existence results for some quasilinear parabolic equations
• Nonlinear Elliptic Equations with Right Hand Side Measures
• Strongly nonlinear elliptic equations having natural growth terms and L1 data
• Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Truncations and monotonicity methods for parabolic equations
• Definition and existence of renormalized solutions of elliptic equations with general measure data
• L¹Solutions to First Order Hyperbolic Equations in Bounded Domains
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder
• VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES
• Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems

This page was built for publication: A kinetic approach in nonlinear parabolic problems with \(L^1\)-data