Blowup in \(L^1(\Omega )\)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
From MaRDI portal
Publication:6146549
DOI10.1515/anona-2023-0121arXiv2302.12724OpenAlexW4390118204MaRDI QIDQ6146549
Masahiro Yamamoto, Giuseppe Floridia, Yikan Liu
Publication date: 31 January 2024
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.12724
Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Cites Work
- On a time fractional reaction diffusion equation
- The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Blow-up for a semilinear parabolic equation with large diffusion on \(\mathbb R^N\)
- Semigroups of linear operators and applications to partial differential equations
- Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
- Blow-up problems for a semilinear heat equation with large diffusion
- Ground states for reaction-diffusion equations with spectrum point zero
- Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms
- Time-fractional diffusion equation in the fractional Sobolev spaces
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- Maximum principle for the generalized time-fractional diffusion equation
- Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
- Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems
- Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity
- Global well-posedness for MHD equations with magnetic diffusion and damping term in \(\mathbb{R}^2\)
- Blowing-up solutions and global solutions to a fractional differential equation
- Propagation and reaction–diffusion models with free boundaries
- Time-Fractional Differential Equations
- Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
- Superlinear Parabolic Problems
- On the growth of solutions of quasi‐linear parabolic equations
- Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation
- Solvability for time‐fractional semilinear parabolic equations with singular initial data
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
