On a nonlinear parabolic equation with fractional Laplacian and integral conditions

DOI10.1080/00036811.2021.1914836zbMath1498.35594OpenAlexW3153648599MaRDI QIDQ5038071

Nguyen Huy Tuan, Vo Viet Tri, Donal O'Regan

Publication date: 29 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1914836

zbMATH Keywords

regularizationparabolic equationill-posed problemfractional Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation
• A mathematical model of an ideal hierarchically organized life-support system of distributed living media
• On recovering parabolic diffusions from their time-averages
• On the heat equation with nonlinear and nonlocal boundary conditions
• A variational principle for linear evolution problems nonlocal in time
• Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
• The two-level finite difference schemes for the heat equation with nonlocal initial condition
• Collocation methods for terminal value problems of tempered fractional differential equations
• Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data
• Existence and uniqueness of mild solutions for a final value problem for nonlinear fractional diffusion systems
• Generalized quasi-reversibility method for a backward heat equation with a fractional Laplacian
• A problem with a nonlocal, with respect to time, condition for multidimensional hyperbolic equations
• On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: well-posedness
• On nonclassical problems for first-order evolution equations
• Euler Equations, Navier-Stokes Equations and Turbulence
• On a Nonlinear Volterra Integro‐differential Equation with a Weakly Singular Kernel
• Approximate Solutions of Inverse Problems for Nonlinear Space Fractional Diffusion Equations with Randomly Perturbed Data
• On a final value problem for fractional reaction‐diffusion equation with Riemann‐Liouville fractional derivative
• Regularization of a terminal value problem for time fractional diffusion equation
• Numerical solution of two‐dimensional time fractional cable equation with Mittag‐Leffler kernel
• On initial and terminal value problems for fractional nonclassical diffusion equations
• An introduction to the mathematical theory of inverse problems
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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