Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions
From MaRDI portal
Publication:2345899
DOI10.1007/s00030-014-0280-3zbMath1319.35308arXiv1301.6534OpenAlexW3099211396MaRDI QIDQ2345899
Publication date: 21 May 2015
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.6534
free boundary problemStefan problemdegenerate parabolic equationporous medium equationdynamic boundary conditionsSchauder estimatesclassical solvability
Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)
Related Items (4)
Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ On global solutions for quasilinear one-dimensional parabolic problems with dynamical boundary conditions ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting ⋮ On Fourier multipliers in function spaces with partial Hölder condition and their application to the linearized Cahn-Hilliard equation with dynamic boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global-in-time strong solvability of the multi-dimensional one-phase Stefan problem for an incompressible viscous fluid
- A free boundary problem modeling thrombus growth. Model development and numerical simulation using the level set method
- Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions
- Investigation of solvability of the multidimensional two-phase Stefan and nonstationary filtration Florin problems for second order parabolic equations in weighted Hölder spaces of functions
- Regularity of solutions for a two-phase degenerate Stefan problem
- Degenerate parabolic equations
- Two-phase Stefan problem as the limit case of two-phase Stefan problem with kinetic condition
- Classical solutions of many-dimensional elliptic-parabolic free boundary problems
- Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type
- On the Laplace equation with dynamical boundary conditions of reactive-diffusive type
- Smooth solution for the porous medium equation in a bounded domain
- Classical solutions of the Stefan problem
- On the existence of the weak solution and the regularity of the free boundary to a one-dimensional two-phase degenerate Stefan problem
- An optimal stopping problem with linear reward
- On a parabolic system with time derivative in the boundary conditions and related free boundary problems
- The Stefan problem with convection and Joule's heating
- Degenerate stochastic differential equations and super-Markov chains
- A Cahn-Hilliard-Gurtin model with dynamic boundary conditions
- Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension
- A free boundary problem of a predator-prey model with higher dimension and heterogeneous environment
- Interior Schauder estimates for parabolic differential- (or difference-) equations via the maximum principle
- The Hele-Shaw problem with surface tension in a half-plane
- Analysis of a Free Boundary Problem Modeling Thrombus Growth
- A boundary-value problem in weighted Hölder spaces for elliptic equations which degenerate at the boundary of the domain
- Quasilinear parabolic systems with dynamical boundary conditions
- All Time Smooth Solutions of the One-Phase Stefan Problem and the Hele-Shaw Flow
- ON CLASSICAL SOLVABILITY OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR CONVECTIVE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID
- Heat Equation with Dynamical Boundary Conditions of Reactive Type
- Degenerate diffusion and the Stefan problem
- ON THE CLASSICAL SOLUTION OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR QUASILINEAR PARABOLIC EQUATIONS
- Nonzero-Sum Stochastic Differential Games With Stopping Times and Free Boundary Problems
- SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
- Regularity of the free boundary for the porous medium equation
- Spatial segregation limit of a competition–diffusion system
- On the Classical Solvability of the Stefan Problem in a Viscous Incompressible Fluid Flow
- Existence and regularity theorems for a two-phase degenerate stefan problem with convection
- A free boundary problem associated with crystallization of polymers in a temperature field
- Existence of the Global Classical Solution for a Two-Phase Stefan Problem
- A Free Boundary Problem for an Elliptic–Parabolic System: Application to a Model of Tumor Growth
- Degenerate Diffusion Operators Arising in Population Biology
- ON CONDITIONS FOR THE EXISTENCE OF A CLASSICAL SOLUTION OF THE STEFAN CONTACT PROBLEM
- Analytic semigroups and optimal regularity in parabolic problems
- A Stefan problem for a protocell model with symmetry-breaking bifurcations of analytic solutions
This page was built for publication: Classical solvability of multidimensional two-phase Stefan problem for degenerate parabolic equations and Schauder's estimates for a degenerate parabolic problem with dynamic boundary conditions
