On the existence and nonexistence of global solutions of the semilinear heat equation
Fuente:
arXiv
Saved in:
| Main Authors: | Zhang, Kaiqiang, Li, Zhiyu |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Global existence and nonexistence of semilinear wave equation with a new condition
by: Sabitbek, Bolys
Published: (2021)
by: Sabitbek, Bolys
Published: (2021)
On a semilinear heat equation on infinite graphs II: blow-up for arbitrary initial data and global existence
by: Punzo, Fabio, et al.
Published: (2026)
by: Punzo, Fabio, et al.
Published: (2026)
Existence and nonexistence of solutions for singular quadratic quasilinear equations
by: Arcoya, David, et al.
Published: (2025)
by: Arcoya, David, et al.
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)
Blow-up and global existence for semilinear parabolic equations on infinite graphs
by: Grillo, Gabriele, et al.
Published: (2024)
by: Grillo, Gabriele, et al.
Published: (2024)
Revisit on global existence of solutions for semilinear damped wave equations in $\mathbb{R}^N$ with noncompactly supported initial data
by: Wakasugi, Yuta
Published: (2024)
by: Wakasugi, Yuta
Published: (2024)
Some further progress for existence and boundedness of solutions to a two-dimensional chemotaxis-(Navier-)Stokes system modeling coral fertilization
by: Zheng, Jiashan, et al.
Published: (2024)
by: Zheng, Jiashan, et al.
Published: (2024)
Existence and nonexistence of viscosity solutions for a class of degenerate/singular eigenvalue type equations
by: Li, Mengni, et al.
Published: (2025)
by: Li, Mengni, et al.
Published: (2025)
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)
The critical power of short pulse initial data on the global existence or blowup of smooth solutions to 3-D semilinear Klein-Gordon equations
by: Shen, Jindou, et al.
Published: (2025)
by: Shen, Jindou, et al.
Published: (2025)
Global existence of small data weak solutions to the semilinear wave equations with time-dependent scale-invariant damping
by: He, Daoyin, et al.
Published: (2024)
by: He, Daoyin, et al.
Published: (2024)
Self-similar solutions of semilinear heat equations with positive speed
by: Choi, Kyeongsu, et al.
Published: (2024)
by: Choi, Kyeongsu, et al.
Published: (2024)
Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model
by: Chen, Huyuan, et al.
Published: (2026)
by: Chen, Huyuan, et al.
Published: (2026)
Existence and nonexistence of sign-changing solutions for linearly perturbed superlinear equations on exterior domains
by: Ahamed, Md Suzan, et al.
Published: (2025)
by: Ahamed, Md Suzan, et al.
Published: (2025)
Nonexistence of solutions of certain semilinear heat equations
by: Suragan, Durvudkhan, et al.
Published: (2022)
by: Suragan, Durvudkhan, et al.
Published: (2022)
Concavity of solutions to semilinear equations in dimension two
by: Chau, Albert, et al.
Published: (2022)
by: Chau, Albert, et al.
Published: (2022)
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 note on global in-time behavior for the semilinear nonlocal heat exchanger system
by: Chen, Wenhui, et al.
Published: (2025)
by: Chen, Wenhui, et al.
Published: (2025)
Local existence and nonexistence of solutions to the Hardy parabolic equation with general nonlinearity
by: Tsusaka, Yo
Published: (2026)
by: Tsusaka, Yo
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)
The lifespan of solutions of semilinear wave equation with weighted nonlinearity
by: Al-Essa, Lulwah, et al.
Published: (2024)
by: Al-Essa, Lulwah, et al.
Published: (2024)
Global existence for small amplitude semilinear wave equations with time-dependent scale-invariant damping
by: He, Daoyin, et al.
Published: (2025)
by: He, Daoyin, et al.
Published: (2025)
The existence of solutions of Schrödinger equations with essence resonance
by: Li, Chong
Published: (2026)
by: Li, Chong
Published: (2026)
Existence and nonexistence of least energy positive solutions to critical Schrödinger systems with Hardy potential
by: You, Song, et al.
Published: (2024)
by: You, Song, et al.
Published: (2024)
Monotonicity of positive solutions to semilinear elliptic equations with mixed boundary conditions in triangles
by: Li, Rui, et al.
Published: (2024)
by: Li, Rui, et al.
Published: (2024)
Existence and regularity of weak solutions for mixed local and nonlocal semilinear elliptic equations
by: Cheng, Fuwei, et al.
Published: (2025)
by: Cheng, Fuwei, et al.
Published: (2025)
On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
by: Chen, Huyuan, et al.
Published: (2024)
by: Chen, Huyuan, et al.
Published: (2024)
Almost sure existence of global weak solutions for incompressible generalized Navier-Stokes equations
by: Lin, Yuan-Xin, et al.
Published: (2025)
by: Lin, Yuan-Xin, et al.
Published: (2025)
Non-convergence and convergence of bounded solutions to semilinear wave equation with dissipative boundary condition
by: Jiao, Zhe, et al.
Published: (2025)
by: Jiao, Zhe, et al.
Published: (2025)
$L^2$-based stability of blowup with log correction for semilinear heat equation
by: Hou, Thomas Y., et al.
Published: (2024)
by: Hou, Thomas Y., et al.
Published: (2024)
On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain
by: Tobakhanov, Nurdaulet N., et al.
Published: (2024)
by: Tobakhanov, Nurdaulet N., et al.
Published: (2024)
Regularity of stable radial solutions to semilinear elliptic equations in MEMS problems
by: Peng, Fa, et al.
Published: (2026)
by: Peng, Fa, et al.
Published: (2026)
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)
Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups
by: Hirayama, Hiroyuki, et al.
Published: (2024)
by: Hirayama, Hiroyuki, et al.
Published: (2024)
On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups
by: Chatzakou, Marianna, et al.
Published: (2024)
by: Chatzakou, Marianna, et al.
Published: (2024)
Asymptotic blow-up behavior for the semilinear heat equation with non scale invariant nonlinearity
by: Chabi, Loth Damagui
Published: (2024)
by: Chabi, Loth Damagui
Published: (2024)
Blow-up of solutions for discrete semilinear wave equation with the scale-invariant damping
by: Wada, Koji, et al.
Published: (2025)
by: Wada, Koji, et al.
Published: (2025)
Global solutions to semilinear parabolic equations driven by mixed local-nonlocal operators
by: Biagi, Stefano, et al.
Published: (2024)
by: Biagi, Stefano, et al.
Published: (2024)
Nondegeneracy properties and uniqueness of positive solutions to a class of fractional semilinear equations
by: Fall, Mouhamed Moustapha, et al.
Published: (2023)
by: Fall, Mouhamed Moustapha, et al.
Published: (2023)
Life span of solutions to a semilinear parabolic equation on locally finite graphs
by: Hu, Yuanyang, et al.
Published: (2024)
by: Hu, Yuanyang, et al.
Published: (2024)
Similar Items
-
Global existence and nonexistence of semilinear wave equation with a new condition
by: Sabitbek, Bolys
Published: (2021) -
On a semilinear heat equation on infinite graphs II: blow-up for arbitrary initial data and global existence
by: Punzo, Fabio, et al.
Published: (2026) -
Existence and nonexistence of solutions for singular quadratic quasilinear equations
by: Arcoya, David, et al.
Published: (2025) -
Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in $R^n$
by: Souplet, Philippe
Published: (2016) -
Blow-up and global existence for semilinear parabolic equations on infinite graphs
by: Grillo, Gabriele, et al.
Published: (2024)