Parabolic equations with nonlinear singularities

DOI10.1016/j.na.2010.08.023zbMath1203.35155OpenAlexW1985928817MaRDI QIDQ603021

Francesco Petitta, Pedro J. Martínez-Aparicio

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://urn.nb.no/URN:NBN:no-23435

zbMATH Keywords

asymptotic behaviorpositive solutionsnonlinear parabolic equationssingular lower order termssingular parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear parabolic equations (35K58) Singular parabolic equations (35K67) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)

Related Items (10)

Some nonlinear parabolic problems with singular natural growth term ⋮ Regularizing effect for some parabolic problems with perturbed terms and irregular data ⋮ A singular elliptic equation with natural growth in the gradient and a variable exponent ⋮ Existence of solutions for degenerate parabolic equations with singular terms ⋮ Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition ⋮ Parabolic equation driven by general differential operators with variable exponents and degenerate nonlinearities: application to image restoration ⋮ Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms ⋮ Singular parabolic problems with possibly changing sign data ⋮ Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources ⋮ Some results on a singular parabolic equation in one dimension case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffuse measures and nonlinear parabolic equations
• On the inequality \(\Delta u \geqq f (u)\)
• Local estimates and global existence for strongly nonlinear parabolic equations with locally integrable data
• Asymptotic behavior of solutions for parabolic operators of Leray-Lions type and measure data
• Quasilinear equations with natural growth
• Existence and nonexistence of solutions for singular quadratic quasilinear equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Continuity of weak solutions to certain singular parabolic equations
• Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems
• Nonlinear parabolic equations with measure data
• On the regularizing effect of strongly increasing lower order terms
• Existence results for nonlinear parabolic equations via strong convergence of truncations
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• Elliptic equations with vertical asymptotes in the nonlinear term
• Singular quasilinear equations with quadratic growth in the gradient without sign condition
• Local behavior of solutions of quasilinear parabolic equations
• On solutions of δu=f(u)
• Dynamic Scaling of Growing Interfaces
• Existence results for some quasilinear parabolic equations
• Dirichlet problems with singular and gradient quadratic lower order terms
• Uniqueness of solutions for some elliptic equations with a quadratic gradient term
• An a priori interior estimate for the solutions of a non-linear problem representing weak diffusion
• Un problème de contrôle géométrique et les équations de Hamilton-Jacobi-Bellman
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation
• Nonlinear parabolic equations with natural growth conditions and L1 data
• Sur certaines équations paraboliques non linéaires
• A Strong Maximum Principle for Quasilinear Parabolic Differential Inequalities
• Metastability in a flame front evolution equation

This page was built for publication: Parabolic equations with nonlinear singularities