Local solvability and dilation-critical singularities of supercritical fractional heat equations
Fuente:
arXiv
Saved in:
| Main Authors: | Fujishima, Yohei, Hisa, Kotaro, Ishige, Kazuhiro, Laister, Robert |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Well-posedness of Heat Equations with Nonlinearities of Arbitrarily Rapid Growth
by: Fujishima, Yohei, et al.
Published: (2025)
by: Fujishima, Yohei, et al.
Published: (2025)
Initial traces of solutions to a semilinear heat equation under the Dirichlet boundary condition
by: Hisa, Kotaro, et al.
Published: (2024)
by: Hisa, Kotaro, et al.
Published: (2024)
Existence of solutions for a semilinear parabolic system with singular initial data
by: Fujishima, Yohei, et al.
Published: (2024)
by: Fujishima, Yohei, et al.
Published: (2024)
Necessary conditions for the solvability of fractional semilinear heat equations in the very weak framework
by: Hisa, Kotaro
Published: (2024)
by: Hisa, Kotaro
Published: (2024)
Existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term
by: Ishige, Kazuhiro, et al.
Published: (2024)
by: Ishige, Kazuhiro, et al.
Published: (2024)
On solvability of a time-fractional semilinear heat equation, and its quantitative approach to the classical counterpart
by: Hisa, Kotaro, et al.
Published: (2023)
by: Hisa, Kotaro, et al.
Published: (2023)
On blow-up rate for the Hénon parabolic equation with Sobolev supercritical nonlinearity
by: Hisa, Kotaro, et al.
Published: (2025)
by: Hisa, Kotaro, et al.
Published: (2025)
Multiplicity of singular solutions for semilinear elliptic equations with superlinear source terms
by: Fujishima, Yohei, et al.
Published: (2025)
by: Fujishima, Yohei, et al.
Published: (2025)
Non-uniqueness of mild solutions for 2d-heat equations with singular initial data
by: Fujishima, Yohei, et al.
Published: (2025)
by: Fujishima, Yohei, et al.
Published: (2025)
Uniform boundedness and blow-up rate of solutions in non-scale-invariant superlinear heat equations
by: Fujishima, Yohei, et al.
Published: (2024)
by: Fujishima, Yohei, et al.
Published: (2024)
Non-uniqueness of positive solutions for supercritical semilinear heat equations without scale invariance
by: Hisa, Kotaro, et al.
Published: (2025)
by: Hisa, Kotaro, et al.
Published: (2025)
Existence of solutions to a fractional semilinear heat equation in uniformly local weak Zygmund type spaces
by: Ioku, Norisuke, et al.
Published: (2024)
by: Ioku, Norisuke, et al.
Published: (2024)
A one-dimensional Stefan problem for the heat equation with a nonlinear boundary condition
by: Araya, Kensho, et al.
Published: (2025)
by: Araya, Kensho, et al.
Published: (2025)
Fundamental solution to the heat equation with a dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2024)
by: Ishige, Kazuhiro, et al.
Published: (2024)
Threshold property of a singular stationary solution for semilinear heat equations with exponential growth
by: Hisa, Kotaro, et al.
Published: (2024)
by: Hisa, Kotaro, et al.
Published: (2024)
Initial traces and solvability of the fast diffusion equation with power-type nonlinearity
by: Ishige, Kazuhiro, et al.
Published: (2025)
by: Ishige, Kazuhiro, et al.
Published: (2025)
Fundamental solution and diffusion limits for the heat equation in a half-space with a diffusive dynamical boundary condition
by: Ishige, Kazuhiro, et al.
Published: (2026)
by: Ishige, Kazuhiro, et al.
Published: (2026)
Initial traces and solvability of porous medium equation with power nonlinearity
by: Ishige, Kazuhiro, et al.
Published: (2025)
by: Ishige, Kazuhiro, et al.
Published: (2025)
Infinite time blow-up and slow decay for the six dimensional energy-critical heat equation with self-similarly decaying initial data
by: Hisa, Kotaro, et al.
Published: (2026)
by: Hisa, Kotaro, et al.
Published: (2026)
Existence of solutions semilinear parabolic equations with singular initial data in the Heisenberg group
by: Bui, The Anh, et al.
Published: (2024)
by: Bui, The Anh, et al.
Published: (2024)
Two-weight inequality for the heat flow and solvability of Hardy-Hénon parabolic equation
by: Tsutsui, Yohei
Published: (2024)
by: Tsutsui, Yohei
Published: (2024)
Preservation of F-convexity under the heat flow
by: Ishige, Kazuhiro, et al.
Published: (2026)
by: Ishige, Kazuhiro, et al.
Published: (2026)
On the effect of randomization on supercritical heat equations
by: Luongo, Eliseo
Published: (2025)
by: Luongo, Eliseo
Published: (2025)
Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds
by: Ishige, Kazuhiro, et al.
Published: (2024)
by: Ishige, Kazuhiro, et al.
Published: (2024)
Normalized solutions to lower critical Choquard equation in mass-supercritical setting
by: Mo, Shuai, et al.
Published: (2025)
by: Mo, Shuai, et al.
Published: (2025)
Non-uniqueness of mild solutions to supercritical heat equations
by: Glogić, Irfan, et al.
Published: (2025)
by: Glogić, Irfan, et al.
Published: (2025)
A general nonlinear characterization of stochastic incompleteness
by: Grillo, Gabriele, et al.
Published: (2023)
by: Grillo, Gabriele, et al.
Published: (2023)
BMO solvability with singular drifts on ample sawtooth domains implies $L^p$ solvability
by: Pathak, Aritro
Published: (2025)
by: Pathak, Aritro
Published: (2025)
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in $R^n$
by: Souplet, Philippe
Published: (2016)
by: Souplet, Philippe
Published: (2016)
Maximal regularity for evolution equations with critical singular perturbations
by: Theewis, Esmée, et al.
Published: (2026)
by: Theewis, Esmée, et al.
Published: (2026)
Rigidity of solutions to singular/degenerate semilinear critical equations
by: Catino, Giovanni, et al.
Published: (2025)
by: Catino, Giovanni, et al.
Published: (2025)
Singular solutions of semilinear elliptic equations with exponential nonlinearities in 2-dimensions
by: Fujishima, Yohei, et al.
Published: (2024)
by: Fujishima, Yohei, et al.
Published: (2024)
Global strong solvability of the Navier-Stokes equations in exterior domains for rough initial data in critical spaces
by: Chang, Tongkeun, et al.
Published: (2024)
by: Chang, Tongkeun, et al.
Published: (2024)
On a Fujita critical time-fractional semilinear heat equation in the uniformly local weak Zygmund type space
by: Kojima, Mizuki
Published: (2024)
by: Kojima, Mizuki
Published: (2024)
Hessian estimates for Lagrangian mean curvature equation with Lipschitz critical and supercritical phases
by: Ding, Qi
Published: (2024)
by: Ding, Qi
Published: (2024)
On unique continuation in measure for fractional heat equations
by: Banerjee, Agnid, et al.
Published: (2024)
by: Banerjee, Agnid, et al.
Published: (2024)
On the fractional regularity for an elliptic nonlinear singular drift equation
by: Jarrin, Oscar
Published: (2025)
by: Jarrin, Oscar
Published: (2025)
Ground state and multiple normalized solutions of quasilinear Schrödinger equations in the $L^2$-supercritical case and the Sobolev critical case
by: Gao, Qiang, et al.
Published: (2025)
by: Gao, Qiang, et al.
Published: (2025)
Discontinuous critical Fujita exponents for the heat equation with combined nonlinearities
by: Jleli, Mohamed, et al.
Published: (2019)
by: Jleli, Mohamed, et al.
Published: (2019)
A critical non-homogeneous heat equation with weighted source
by: Iagar, Razvan Gabriel, et al.
Published: (2024)
by: Iagar, Razvan Gabriel, et al.
Published: (2024)
Similar Items
-
Well-posedness of Heat Equations with Nonlinearities of Arbitrarily Rapid Growth
by: Fujishima, Yohei, et al.
Published: (2025) -
Initial traces of solutions to a semilinear heat equation under the Dirichlet boundary condition
by: Hisa, Kotaro, et al.
Published: (2024) -
Existence of solutions for a semilinear parabolic system with singular initial data
by: Fujishima, Yohei, et al.
Published: (2024) -
Necessary conditions for the solvability of fractional semilinear heat equations in the very weak framework
by: Hisa, Kotaro
Published: (2024) -
Existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term
by: Ishige, Kazuhiro, et al.
Published: (2024)