Local solvability and dilation-critical singularities of supercritical fractional heat equations
DOI10.1016/J.MATPUR.2024.04.005zbMATH Open1541.35287MaRDI QIDQ6550293
Kazuhiro Ishige, R. Laister, Kotaro Hisa, Yohei Fujishima
Publication date: 5 June 2024
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
solvabilitysupercritical nonlinearitysuperlinear fractional parabolic equationsdilation-critical singularity
Optimality conditions for problems involving partial differential equations (49K20) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Existence, non-existence, and uniqueness for a heat equation with exponential nonlinearity in \(\mathbb R^2\)
- Supersolutions for a class of semilinear heat equations
- Local well posedness of a 2D semilinear heat equation
- The Cauchy problem for heat equations with exponential nonlinearity
- Far field asymptotics of solutions to convection equation with anomalous diffusion
- Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Existence and non-existence of global solutions for a semilinear heat equation
- Existence of solutions for a fractional semilinear parabolic equation with singular initial data
- Existence and nonexistence of solutions for the heat equation with a superlinear source term
- A nonlinear heat equation with singular initial data
- Optimal singularities of initial data for solvability of the Hardy parabolic equation
- Initial traces and solvability of Cauchy problem to a semilinear parabolic system
- Solvability of superlinear fractional parabolic equations
- The blow-up rate for a non-scaling invariant semilinear heat equation
- Optimal singularities of initial functions for solvability of a semilinear parabolic system
- Fractional semilinear heat equations with singular and nondecaying initial data
- Existence of solutions for a higher-order semilinear parabolic equation with singular initial data
- A blow-up dichotomy for semilinear fractional heat equations
- Weakly coupled reaction-diffusion systems with rapidly growing nonlinearities and singular initial data
- Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
- Supersolutions for a class of nonlinear parabolic systems
- Some Theorems on Stable Processes
- Domain of existence and blowup for the exponential reaction-diffusion equation
- Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
- Solvability of the Heat Equation with a Nonlinear Boundary Condition
- Solvability of a Semilinear Heat Equation via a Quasi Scale Invariance
- Superlinear Parabolic Problems
- Universal estimates and Liouville theorems for superlinear problems without scale invariance
- Initial traces and solvability for a semilinear heat equation on a half space of ℝ^{ℕ}
- Quasi self-similarity and its application to the global in time solvability of a superlinear heat equation
- Existence and nonexistence of solutions to the Hardy parabolic equation
This page was built for publication: Local solvability and dilation-critical singularities of supercritical fractional heat equations
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6550293)