Nonlinear anisotropic parabolic equations in with locally integrable data

DOI10.1002/mma.2581zbMath1259.35122OpenAlexW2153068162MaRDI QIDQ4907183

Fares Mokhtari

Publication date: 31 January 2013

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

Full work available at URL: https://doi.org/10.1002/mma.2581

zbMATH Keywords

nonlinear parabolic equationsanisotropic problemanisotropic Sobolev inequality\(L^1\)-data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Semilinear parabolic equations (35K58)

Related Items (6)

Nonlinear anisotropic degenerate parabolic equations with variable exponents and irregular data ⋮ Regularity of the solution to nonlinear anisotropic elliptic equations with variable exponents and irregular data ⋮ Anisotropic degenerate parabolic problems in \(\mathbb{R}^N\) with variable exponent and locally integrable data ⋮ Minimization of elliptic non-local functionals involving \(\vec{p}(\cdot)\)-Laplacian ⋮ Nonlinear anisotropic elliptic equations in RN with variable exponents and locally integrable data ⋮ Nonlinear anisotropic parabolic equations in \(L^m\)

Cites Work

• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• A priori estimates for solutions of anisotropic elliptic equations
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Compact sets in the space \(L^ p(0,T;B)\)
• On some anisotropic reaction-diffusion systems with \(L^{1}\)-data modeling the propagation of an epidemic disease
• Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data
• Renormalized solutions of an anisotropic reaction-diffusion-advection system with \(L^1\) data
• Anisotropic parabolic problems with Orlicz data
• Anisotropic parabolic problems with measures data
• Perturbative degrees of freedom in loop quantum gravity: anisotropies
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