Cover Image

Lipschitz stability for Bayesian inference in porous medium tissue growth models

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dębiec, Tomasz, Gwiazda, Piotr, Miasojedow, Błażej, Ryszewska, Katarzyna, Szymańska, Zuzanna, Wróblewska-Kamińska, Aneta
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35B30, 35B35, 35B45, 35K57, 35K65, 35Q92
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

From Finite to Continuous Phenotypes in (Visco-)Elastic Tissue Growth Models
by: Dębiec, Tomasz, et al.
Published: (2024)

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
by: Ambrosio, Pasquale, et al.
Published: (2025)

Widely degenerate anisotropic diffusion: local boundedness and semicontinuity
by: Ambrosio, Pasquale, et al.
Published: (2026)

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)

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)

Stability of constant steady states of an attraction-repulsion chemotaxis system
by: Wakui, Hiroshi, et al.
Published: (2025)

Global existence and blow-up of solutions to the double nonlinear porous medium equation
by: Sabitbek, Bolys, et al.
Published: (2021)

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

A new formula for the Wasserstein distance between solutions to (nonlinear) continuity equations
by: Carrillo, José A., et al.
Published: (2026)

Nonlinear Fisher information, corresponding functional inequalities and applications
by: Cieślak, Tomasz, et al.
Published: (2025)

Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups
by: Ruzhansky, Michael, et al.
Published: (2021)

Integral Harnack estimates and the rate of extinction of singular fractional diffusion
by: Cassanello, Filippo M., et al.
Published: (2026)

Fractional $p$-caloric functions are Lipschitz
by: Jesus, David, et al.
Published: (2026)

Boundary symmetry breaking via logistic damping in a chemotaxis-growth system
by: Chen, Yiren, et al.
Published: (2026)

Dynamical analysis in a nonlocal delayed reaction-diffusion tumor model with therapy
by: Hu, Dandan, et al.
Published: (2025)

Schauder estimates for parabolic $p$-Laplace systems
by: Bögelein, Verena, et al.
Published: (2025)

Long-time dynamics of a bulk-surface convective Cahn--Hilliard system: Pullback attractors and convergence to equilibrium
by: Knopf, Patrik, et al.
Published: (2026)

Dynamics of a coupled nonlocal PDE-ODE system with spatial memory: well-posedness, stability, and bifurcation analysis
by: Salmaniw, Yurij, et al.
Published: (2025)

Refining Hölder regularity theory in degenerate drift-diffusion equations
by: Black, Tobias
Published: (2024)

Higher integrability for the singular porous medium system
by: Bögelein, Verena, et al.
Published: (2018)

Boundary Hölder gradient estimates for parabolic $p$-Laplace type equations
by: Lee, Se-Chan, et al.
Published: (2025)

On a class of triangular cross-diffusion systems and its fast reaction approximation
by: Brocchieri, Elisabetta, et al.
Published: (2025)

Boundary Estimates for Doubly Nonlinear Parabolic Equations
by: Gianazza, Ugo, et al.
Published: (2024)

Effective interface conditions for a porous medium type problem
by: Ciavolella, Giorgia, et al.
Published: (2021)

Continuity of the spatial gradient of weak solutions to very singular parabolic equations involving the one-Laplacian
by: Tsubouchi, Shuntaro
Published: (2023)

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

Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
by: Knosalla, Piotr, et al.
Published: (2024)

The impact of Robin boundary condition on a chemotaxis-consumption-growth model
by: Knosalla, Piotr
Published: (2025)

Lipschitz regularity for parabolic fractional $p$-Laplace equations
by: Prasad, Harsh
Published: (2026)

Time derivative estimates for parabolic $p$-Laplace equations and applications to optimal regularity
by: Lee, Se-Chan, et al.
Published: (2025)

Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
by: Hurm, Christoph, et al.
Published: (2024)

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

Well-posedness for a fourth-order nonisothermal tumor growth model of Caginalp type
by: Cavalleri, Giulia, et al.
Published: (2025)

Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
by: Jüngel, Ansgar, et al.
Published: (2026)

Unveiling Explicit Patterns: Exact Steady States and Stability in a Confined Chemotaxis Model
by: Huang, Yue, et al.
Published: (2025)

Remarks on the stabilization of large-scale growth in the 2D Kuramoto-Sivashinsky equation
by: Larios, Adam, et al.
Published: (2024)

Initial traces and solvability of porous medium equation with power nonlinearity
by: Ishige, Kazuhiro, et al.
Published: (2025)

Global existence for a system without self-diffusion and different mobilities
by: Elbar, Charles
Published: (2026)

Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)

On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)