Global well-posedness for fractional Sobolev-Galpern type equations

DOI10.3934/DCDS.2021206zbMath1489.35303arXiv2108.07681OpenAlexW3195732444MaRDI QIDQ2139514

Nguyen Huy Tuan, Nguyen Anh Tuan, Chao Yang

Publication date: 18 May 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.07681

zbMATH Keywords

global well-posednessexponential nonlinearityfractional pseudo-parabolic equationglobally Lipschitz source

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Related Items (12)

Notes on continuity result for conformable diffusion equation on the sphere: the linear case ⋮ On initial value problem for elliptic equation on the plane under Caputo derivative ⋮ Distributed-order space-time fractional diffusions in bounded domains ⋮ On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator ⋮ On a non-local Sobolev-Galpern-type equation associated with random noise ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Local and global existence of solutions to a time-fractional wave equation with an exponential growth ⋮ Long time behavior of solutions for time-fractional pseudo-parabolic equations involving time-varying delays and superlinear nonlinearities ⋮ On local fractional integral inequalities via generalized \((\tilde{h}_1, \tilde{h}_2)\)-preinvexity involving local fractional integral operators with Mittag-Leffler kernel ⋮ Analysis of Cauchy problem with fractal-fractional differential operators ⋮ GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY ⋮ Unnamed Item

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