Cover Image

Liouville theorems and universal estimates for superlinear parabolic problems without scale invariance

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Quittner, Pavol, Souplet, Philippe
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35K58, 35K61, 35B40, 35B45, 35B44, 35B53
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Threshold, subthreshold and global unbounded solutions of superlinear heat equations
by: Quittner, Pavol, et al.
Published: (2025)

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

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)

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

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

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

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

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

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

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

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

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)

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)

Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow
by: Abels, Helmut, et al.
Published: (2024)

Gradient continuity for the parabolic $(1,\,p)$-Laplace system
by: Tsubouchi, Shuntaro
Published: (2025)

Higher order Schauder estimates for degenerate or singular parabolic equations
by: Audrito, Alessandro, et al.
Published: (2024)

Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn-Hilliard system with singular potentials and its Robin approximation
by: Lv, Maoyin, et al.
Published: (2024)

Existence and Nonlocal-to-Local Convergence for Singular, Anisotropic Nonlocal Cahn-Hilliard Equations
by: Abels, Helmut, et al.
Published: (2025)

On the Hölder continuity of signed solutions to doubly nonlinear parabolic equations in the mixed degenerate/singular cases
by: Skrypnik, Igor I.
Published: (2026)

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

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

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

On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior
by: Lv, Maoyin, et al.
Published: (2024)

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)

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

Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks
by: Mel'nyk, Taras, et al.
Published: (2023)

Notes on Schauder estimates by scaling for elliptic PDEs in divergence form
by: Vita, Stefano
Published: (2025)

Degenerate or singular parabolic systems with partially DMO coefficients: the Dirichlet problem
by: Dong, Hongjie, et al.
Published: (2025)

Schauder type estimates for degenerate or singular parabolic systems with partially DMO coefficients
by: Dong, Hongjie, et al.
Published: (2025)

Asymptotic Blow-up Behavior for the Semilinear Heat Equation with Super-exponential Nonlinearities
by: Ichiya, Ryoto
Published: (2025)

Nonradial Quenching Profile for a MEMS Model
by: Liao, Hsuan-Lin, et al.
Published: (2025)

Well-posedness and long-term behaviour for a troposphere wave propagation model
by: Holst, Paul, et al.
Published: (2024)

A Liouville theorem for ancient solutions of the parabolic Monge-Ampère equation with periodic data
by: Yan, Kui, et al.
Published: (2026)

Real eternal PDE solutions are not complex entire: a quadratic parabolic example
by: Fiedler, Bernold, et al.
Published: (2024)

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

Schauder estimates for elliptic equations degenerating on lower dimensional manifolds
by: Cora, Gabriele, et al.
Published: (2025)