Cover Image

Global dynamics for the energy-critical nonlinear heat equation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ikeda, Masahiro, Niche, César J., Planas, Gabriela
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35B40 (Primary), 35K55 (Secondary), 35K055 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Regularity theory for fully nonlinear equations of porous medium-type
by: Yun, Hyungsung
Published: (2024)

Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations
by: Chikami, Noboru, et al.
Published: (2025)

Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun
Published: (2022)

Long-time behavior of free energy in the nonlinear Fokker-Planck equation
by: Araki, Kouta, et al.
Published: (2025)

The volume-filling property of semiconductor model with cross-diffusion phenomenon
by: Lin, Xi
Published: (2022)

Concentration phenomena to a chemotaxis system with indirect signal production
by: Soga, Yuri
Published: (2025)

Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data
by: Park, Dongjin
Published: (2023)

Interaction between initial behavior of temperature and the mean curvature of the interface in two-phase heat conductors
by: Sakaguchi, Shigeru
Published: (2024)

The evolving surface Cahn-Hilliard equation with a degenerate mobility
by: Elliott, Charles M., et al.
Published: (2024)

Asymptotics and periodic dynamics in a negative chemotaxis system with cell lethality
by: Herrero-Hervás, Federico, et al.
Published: (2025)

Global behavior of nonlocal in time reaction-diffusion equations
by: Torebek, Berikbol T.
Published: (2023)

Quantitative stability for quasilinear parabolic equations
by: Kurkinen, Tapio, et al.
Published: (2026)

An inhomogeneous porous medium equation with non-integrable data: asymptotics
by: Muratori, Matteo, et al.
Published: (2024)

Remarks on the derivation of the virial identity for nonlinear Schrödinger equations
by: Ikeda, Tomoyuki, et al.
Published: (2025)

On local energy decay for solutions to the b-family of peakon equations
by: Hong, Christian
Published: (2024)

Local boundedness for solutions to degenerate parabolic double phase problems
by: Kim, Bogi, et al.
Published: (2026)

Bounded solutions and interpolative gap bounds for degenerate parabolic double phase problems
by: Kim, Bogi, et al.
Published: (2025)

Interpolative Refinement of Gap Bound Conditions for Singular Parabolic Double Phase Problems
by: Kim, Bogi, et al.
Published: (2026)

Existence and asymptotic behavior for $L^2$-norm preserving nonlinear heat equations
by: Antonelli, Paolo, et al.
Published: (2022)

Well-posedness of aggregation-diffusion systems with irregular kernels
by: Carrillo, José A., et al.
Published: (2024)

Unconditional uniqueness and non-uniqueness for Hardy-Hénon parabolic equations
by: Chikami, Noboru, et al.
Published: (2023)

Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear $p$-parabolic equations
by: Björn, Anders, et al.
Published: (2026)

Optimal regularity for degenerate parabolic equations on a flat boundary
by: Yun, Hyungsung
Published: (2025)

Kermack-McKendrick type models for epidemics with nonlocal aggregation terms
by: Di Francesco, Marco, et al.
Published: (2024)

Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems
by: Abdellaoui, Boumediene, et al.
Published: (2025)

Non-uniqueness of Oberbeck-Boussinesq System with Gravitational Field
by: Liu, Xiaoran
Published: (2024)

A sharp criterion and complete classification of global-in-time solutions and finite time blow-up of solutions to a chemotaxis system in supercritical dimensions
by: Soga, Yuri
Published: (2026)

Standing waves with prescribed $L^2$-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities
by: Gou, Tianxiang
Published: (2023)

Well-posedness and regularity for seminlinear time-dependent second and fourth order in space equations
by: Remesan, Gopikrishnan Chirappurathu
Published: (2026)

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $\mathbb{T}^3$
by: Babb, Ryan L. Acosta, et al.
Published: (2025)

Higher integrability for doubly nonlinear parabolic systems
by: Bögelein, Verena, et al.
Published: (2018)

Fully nonlinear parabolic fixed transmission problems
by: Jesus, David, et al.
Published: (2025)

Profile of a Touch-Down solution to a nonlocal MEMS model with critical parameters
by: Boughrara, Maissâ
Published: (2025)

Stable blow-up solutions for the $SO(d)$-equivariant supercritical Yang-Mills heat flow
by: Yi, Yezhou
Published: (2021)

Orbital stability of plane waves in the Klein-Gordon equation against localized perturbations
by: Bukieda, Emile, et al.
Published: (2025)

Regularity theory for sub-critical $p$-parabolic systems with measurable coefficients
by: Bögelein, Verena, et al.
Published: (2026)

Sharp non-explicit blow-up profile for perturbed nonlinear heat equations with gradient terms
by: Boughrara, Maissâ
Published: (2023)

$\mathcal{C}^α$-regularity for nonlinear non-diagonal parabolic systems
by: Bulíček, Miroslav, et al.
Published: (2025)

Green functions for the heat and Laplace equations with dynamical boundary conditions in a ball
by: Yang, Xuzhou
Published: (2025)

Global existence of the solution of the modified Camassa-Holm equation with step-like boundary conditions
by: Karpenko, I., et al.
Published: (2025)