On local weak solutions for fractional in time Sobolev-type inequalities

DOI10.1155/2020/4867186zbMath1450.35304OpenAlexW3088896893MaRDI QIDQ2204699

Bessem Samet, Mohaemd Jleli

Publication date: 16 October 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4867186

zbMATH Keywords

existence and nonexistence of nontrivial local weak solutions

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Partial differential inequalities and systems of partial differential inequalities (35R45) Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Cites Work

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• Towards a unified approach to nonexistence of solutions for a class of differential inequalities
• On the instantaneous blow-up of solutions of some quasilinear evolution problems
• Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
• The essentially nonlinear capacities induced by differential operators
• Nonexistence of local solutions to semilinear partial differential inequalities
• A model of capillary phenomena in \(\mathbb{R}^N\) with subcritical growth
• Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
• Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations
• A nonautonomous epidemic model with general incidence and isolation

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