Cover Image

On the existence of solutions to some singular parabolic free boundary problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Audrito, Alessandro, Sanz-Perela, Tomás
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35R35, 35B44, 35K55, 58J35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Asymptotic large time behavior of singular solutions of the fast diffusion equation
by: Hui, Kin Ming, et al.
Published: (2025)

Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results
by: Sanz-Perela, Tomás
Published: (2022)

Nonexistence of solutions to parabolic problems with a potential on weighted graphs
by: Monticelli, Dario D., et al.
Published: (2024)

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)

Blow-up and global mild solutions for a Hardy-Hénon parabolic equation on the Heisenberg group
by: Castillo, Ricardo, et al.
Published: (2025)

Precise propagation profile for some monostable free boundary problems in time-periodic media
by: Du, Yihong, et al.
Published: (2026)

Well-posedness and asymptotic behavior of solutions to a second order nonlocal parabolic MEMS equation
by: Wei, Yufei, et al.
Published: (2026)

On behavior of free boundaries to generalized two-phase Stefan problems for parabolic partial differential equation systems
by: Aiki, Toyohiko, et al.
Published: (2026)

Forward and backward problems for coupled subdiffusion systems
by: Feng, Dian, et al.
Published: (2024)

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

Global existence and nonexistence analyses for a magnetic fractional pseudo-parabolic equation
by: Cheng, Jiazhuo, et al.
Published: (2024)

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

Revisiting the blow-up criterion and the maximal existence time for solutions of the parabolic-elliptic Keller-Segel system in 2d-Euclidean space
by: Maheux, Patrick, et al.
Published: (2025)

On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces
by: Garcke, Harald, et al.
Published: (2019)

Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
by: Oza, Priyank, et al.
Published: (2026)

Well-posedness of half-harmonic map heat flows for rough initial data
by: Koch, Kilian, et al.
Published: (2025)

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

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

Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction
by: Zhang, Jian, 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)

Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds
by: Grigor'yan, Alexander, et al.
Published: (2026)

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

Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities
by: Lopes, Pedro T. P., et al.
Published: (2019)

Asymptotics of solutions to the porous medium equation near conical singularities
by: Roidos, Nikolaos, et al.
Published: (2025)

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

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

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

An Overdetermined Neumann boundary value problem with a general driving force
by: Minlend, Ignace Aristide, et al.
Published: (2024)

A semilinear problem associated to the space-time fractional heat equation in $\mathbb{R}^N$
by: Cortázar, Carmen, et al.
Published: (2024)

Regularity of the free boundary in an unstable parabolic problem
by: Allen, Mark, et al.
Published: (2025)

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds
by: Sürig, Philipp
Published: (2026)

Dimension of the singular set in the parabolic obstacle problem
by: Martínez, Alejandro, et al.
Published: (2026)

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)

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

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)

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