Cover Image

Threshold, subthreshold and global unbounded solutions of superlinear heat equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Quittner, Pavol, Souplet, Philippe
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35K58, 35K57, 35B40, 35B44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance
by: Quittner, Pavol, et al.
Published: (2024)

A priori estimates of solutions to local and nonlocal superlinear parabolic problems
by: Quittner, Pavol
Published: (2024)

Liouville theorems for parabolic systems with homogeneous nonlinearities and gradient structure
by: Quittner, Pavol
Published: (2021)

On refined blowup estimates for the exponential reaction-diffusion equation
by: Souplet, Philippe
Published: (2021)

Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity
by: Chabi, Loth Damagui, et al.
Published: (2024)

Optimal condition for blow-up of the critical $L^q$ norm for the semilinear heat equation
by: Mizoguchi, Noriko, et al.
Published: (2018)

Global and nonglobal solutions for a mixed local-nonlocal heat equation
by: Carhuas, Brandon, et al.
Published: (2025)

Dynamics near the ground state for the Sobolev critical Fujita type heat equation in 6D
by: Harada, Junichi
Published: (2024)

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)

Oscillatory behavior of solutions to the critical Fujita equation in 6D
by: Harada, Junichi
Published: (2025)

Rigidity results in multi-bubble dynamics for non-radial energy-critical heat equation
by: Kim, Kihyun, et al.
Published: (2026)

Refined blow-up behavior for reaction-diffusion equations with non scale invariant exponential nonlinearities
by: Chabi, Loth Damagui
Published: (2025)

Liouville theorems and universal estimates for superlinear elliptic problems without scale invariance
by: Quittner, Pavol, et al.
Published: (2024)

Blow-up profiles for the parabolic-elliptic Keller-Segel system in dimensions $n\ge 3$
by: Souplet, Philippe, et al.
Published: (2018)

Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction
by: Zhang, Jian, et al.
Published: (2024)

Sharp macroscopic blow-up behavior for the parabolic-elliptic Keller-Segel system in dimensions $n\ge 3$
by: Chabi, Loth Damagui, et al.
Published: (2026)

On the decay of mass with respect to an invariant measure for semilinear heat equations in exterior domains
by: Fino, Ahmad, et al.
Published: (2025)

Flat blow-up solutions for the complex Ginzburg Landau equation
by: Duong, Giao Ky, et al.
Published: (2023)

Coupled reaction-diffusion equations on adjacent domains
by: Berestycki, Henri, et al.
Published: (2019)

Blow-up for a double nonlocal heat equation
by: Ferreira, Raúl, et al.
Published: (2024)

A Liouville theorem for supercritical Fujita equation and its applications
by: Wang, Kelei, et al.
Published: (2025)

Boundedness of solutions of nonautonomous degenerate logistic equations
by: Arrieta, José M., et al.
Published: (2023)

From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay
by: Milisic, Vuk, et al.
Published: (2024)

Existence of global attractors and convergence of solutions for the Cahn-Hilliard equation on manifolds with conical singularities
by: Lopes, Pedro T. P., et al.
Published: (2022)

Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Blowup in $L^1(Ω)$-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms
by: Floridia, Giuseppe, et al.
Published: (2023)

Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities
by: Fino, Ahmad Z., et al.
Published: (2025)

Long time dynamics of solutions to $p$-Laplacian diffusion problems with bistable reaction terms
by: Folino, Raffaele, et al.
Published: (2020)

Blow up analysis for Keller-Segel system
by: Chen, Hua, et al.
Published: (2022)

Blow up analysis for a parabolic MEMS problem, I: Hölder estimate
by: Wang, Kelei, et al.
Published: (2024)

Unboundedness phenomenon in a model of urban crime
by: Fuest, Mario, et al.
Published: (2021)

Heat equations driven by mixed local-nonlocal operators with exponential nonlinearity
by: Chaurasia, Dharmendra Kumar, et al.
Published: (2026)

On classification of global dynamics for energy-critical equivariant harmonic map heat flows and radial nonlinear heat equation
by: Kim, Kihyun, et al.
Published: (2024)

A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem
by: Needham, David John, et al.
Published: (2024)

Blow-up criteria for the semilinear parabolic equations driven by mixed local-nonlocal operators
by: Kumar, Vishvesh, et al.
Published: (2025)

Convergence to pushed fronts and the behavior of level sets in monostable reaction-diffusion equations
by: Kiyono, Ryo
Published: (2026)

The influence of advection on the propagation phenomena of reaction-diffusion equations with KPP-bistable nonlinearity
by: Liang, Xing, et al.
Published: (2024)

Fractional heat equation involving Hardy-Leray Potential
by: Abdellaoui, Boumediene, et al.
Published: (2024)

On the existence of solutions to some singular parabolic free boundary problems
by: Audrito, Alessandro, et al.
Published: (2025)

Vanishing interfaces in an asymmetric fast reaction limit
by: Tsukamoto, Yuki
Published: (2026)