Existence and regularity results for nonlinear parabolic equations with quadratic growth with respect to the gradient
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Publication:2047448
DOI10.1007/s12215-020-00530-5zbMath1479.35223OpenAlexW3037064313MaRDI QIDQ2047448
A. Marah, K. Zaki, Hicham Redwane
Publication date: 20 August 2021
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-020-00530-5
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)
Related Items (3)
On nonlinear parabolic equations with singular lower order term ⋮ On a class of \(p(x)\)-Laplacian-like Dirichlet problem depending on three real parameters ⋮ On some regularity results of parabolic problems with nonlinear perturbed terms and general data
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals
- Degenerate parabolic equations
- Existence and uniqueness of a solution for a class of parabolic equations with two unbounded nonlinearities
- Nonlinear equations with unbounded heat conduction and integrable data
- Compact sets in the space \(L^ p(0,T;B)\)
- Nonlinear parabolic equations with measure data
- A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
- Stefan problems with nonlinear diffusion and convection
- \(L^ \infty\)-solutions for some nonlinear degenerate elliptic and parabolic equations
- Nonlinear elliptic equations having a gradient term with natural growth
- Local behavior of solutions of quasilinear parabolic equations
- A quasilinear Dirichlet problem with quadratic growth respect to the gradient and \(L^1\) data
- Existence results for some quasilinear parabolic equations
- Dirichlet problems with singular and gradient quadratic lower order terms
- On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
- Strongly nonlinear elliptic equations having natural growth terms and L1 data
- Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
- $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
- A unilateral problem for elliptic equations with quadratic growth and for \(L^1\)-data
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