EXISTENCE RESULTS FOR L1 DATA OF SOME QUASI-LINEAR PARABOLIC PROBLEMS WITH A QUADRATIC GRADIENT TERM AND SOURCE

DOI10.1142/S0218202502001520zbMath1032.35099MaRDI QIDQ4798930

Boccardo, Lucio, Sergio Segura de León, Luigi Orsina, Fuensanta Andreu

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Cauchy-Dirichlet problem

Mathematics Subject Classification ID

Related Items (12)

Strongly coupled elliptic equations related to mean-field games systems ⋮ Existence results for some nonlinear parabolic equations with degenerate coercivity and singular lower-order terms ⋮ On the existence and regularity of solutions to singular parabolic \(p\)-Laplacian equations with absorption term ⋮ Generalized parabolic problems having a gradient term with natural growth and a measure initial data ⋮ Doubly nonlinear parabolic equations with measure data ⋮ Quasi-linear diffusion equations with gradient terms and \(L^{1}\) data. ⋮ A quasilinear elliptic equation with \(W_0^{1,1}\)-solutions ⋮ Quasilinear parabolic equations with first order terms and \(L^1\)-data in moving domains ⋮ Existence via regularity of solutions for elliptic systems and saddle points of functionals of the calculus of variations ⋮ Quasi-linear diffusion equations with gradient terms and \(L^1\) data ⋮ Existence results for quasilinear elliptic and parabolic problems with quadratic gradient terms and sources ⋮ Bifurcation for Quasilinear Elliptic Singular BVP

Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source
• On parabolic initial-boundary value problems with critical growth for the gradient
• Local behavior of solutions of quasilinear parabolic equations
• Existence results for some quasilinear parabolic equations
• Existence of bounded solutions of some nonlinear parabolic equations
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term
• Nonlinear parabolic equations with natural growth conditions and L1 data

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