Time-space fractional diffusion problems: existence, decay estimates and blow-up of solutions
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Publication:2149586
DOI10.1007/s00032-021-00348-5zbMath1492.35417OpenAlexW4220966998WikidataQ114827366 ScholiaQ114827366MaRDI QIDQ2149586
Vicenţiu D. Rădulescu, Ruixin Shen, Mingqi Xiang
Publication date: 29 June 2022
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-021-00348-5
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)
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Cites Work
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- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
- Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Ground state solutions of scalar field fractional Schrödinger equations
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
- Fractional quantum mechanics and Lévy path integrals
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- An application of the \(S\)-functional calculus to fractional diffusion processes
- Solution to fractional pseudoparabolic equation with fractional integral condition
- Multiplicity of solutions for variable-order fractional Kirchhoff equations with nonstandard growth
- Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
- Nonlocal Kirchhoff problems with singular exponential nonlinearity
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Life span of blowing-up solutions to the Cauchy problem for a time-space fractional diffusion equation
- Finite time blowup for a semilinear pseudo-parabolic equation with general nonlinearity
- Nehari manifold for fractional Kirchhoff systems with critical nonlinearity
- Blow-up of solutions for a time-space fractional evolution system
- Blow-up phenomena for a nonlinear pseudo-parabolic equation with nonlocal source
- Certain non-steady flows of second-order fluids
- Semilinear Caputo time-fractional pseudo-parabolic equations
- Global existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equations
- Non-local Diffusions, Drifts and Games
- Nonlinear Diffusion with Fractional Laplacian Operators
- Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Variational Methods for Nonlocal Fractional Problems
- Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation
- On a nonlocal problem for a Caputo time‐fractional pseudoparabolic equation
- Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
- On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity
- Model equations for long waves in nonlinear dispersive systems
- On time fractional pseudo‐parabolic equations with non‐local in time condition
