On the notion of renormalized solution to nonlinear parabolic equations with general measure data

DOI10.1007/BF03377376zbMath1386.35190arXiv1506.03671OpenAlexW2964056806MaRDI QIDQ1691812

Alessio Porretta, Francesco Petitta

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03671

zbMATH Keywords

nonlinear parabolic equationsmeasure dataparabolic capacity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs with low regular coefficients and/or low regular data (35R05) PDEs with measure (35R06)

Related Items (26)

Regularity of solutions of elliptic or parabolic problems with Dirac measures as data ⋮ Stability/nonstability properties of renormalized/entropy solutions for degenerate parabolic equations with \(L^1\)/measure data ⋮ Regularizing effect for some parabolic problems with perturbed terms and irregular data ⋮ Marcinkiewicz regularity for singular parabolic \(p\)-Laplace type equations with measure data ⋮ Regularity estimates for singular parabolic measure data problems with sharp growth ⋮ Unnamed Item ⋮ Existence results for a class of nonlinear parabolic equations of generalized porous medium type with measure data ⋮ Existence of renormalized solutions to a nonlinear parabolic boundary value problem with a singular lower order term and a nonhomogeneous datum ⋮ Generalized solutions for a class of nonlinear parabolic problems with irregular data in unbounded domains ⋮ Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data ⋮ Stability and existence results for a class of nonlinear parabolic equations with three lower order terms and measure data using Lorentz spaces ⋮ The well-posedness of renormalized solutions for a non-uniformly parabolic equation ⋮ Perturbation effects for some nonlinear parabolic equations with lower order term and \(L^1\)-data ⋮ Asymptotic behavior result for obstacle parabolic problems with measure data ⋮ Renormalized solutions of semilinear elliptic equations with general measure data ⋮ Existence and uniqueness of a renormalized solution for nonlinear degenerate parabolic equations with diffuse measure data ⋮ Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data ⋮ Existence and uniqueness of renormalized solutions to nonlinear parabolic equations with lower order term and diffuse measure data ⋮ Existence results of renormalized solutions for nonlinear \(p(\cdot)\)-parabolic equations with possibly singular measure data ⋮ Homogenization of a nonlinear parabolic problem corresponding to a Leray-Lions monotone operator with right-hand side measure ⋮ A nonlinear parabolic problem with singular terms and nonregular data ⋮ Renormalized solution for a nonlinear parabolic problems with noncoercivity in divergence form in Musielak-Orlicz spaces ⋮ On some regularity results of parabolic problems with nonlinear perturbed terms and general data ⋮ Non-stability result of entropy solutions for nonlinear parabolic problems with singular measures ⋮ On the structure of diffuse measures for parabolic capacities ⋮ RENORMALIZED AND ENTROPY SOLUTIONS OF TUMOR GROWTH MODEL WITH NONLINEAR ACID PRODUCTION

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffuse measures and nonlinear parabolic equations
• Stability properties for quasilinear parabolic equations with measure data
• Renormalized solutions of nonlinear parabolic equations with general measure data
• Nonlinear parabolic equations with measure data
• Existence results for nonlinear parabolic equations via strong convergence of truncations
• Parabolic capacity and soft measures for nonlinear equations
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• Approximation of diffuse measures for parabolic capacities
• Reduced measures for obstacle problems
• Parabolic Capacity and Sobolev Spaces
• A non-existence result for nonlinear parabolic equations with singular measures as data
• Problems paraboliques semi-lineaires avec donnees measures

This page was built for publication: On the notion of renormalized solution to nonlinear parabolic equations with general measure data