A Geometric Approach to Free Boundary Problems
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- Type
- book
- Published
- 2005-05-01
- Cited by
- 493
- References
- 31
- OpenAlex
- https://openalex.org/W1502587714
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:117927372
Keywords
Boundary (topology), Computer science, Geometry, Mathematics, Mathematical analysis
References
- Existence and regularity for a minimum problem with free boundary.
- Minimal surfaces and functions of bounded variation
- Weighted norm inequalities for maximal functions and singular integrals
- Temperatures in several variables: Kernel functions, representations, and parabolic boundary values
- Continuity of the temperature in the two-phase Stefan problem
- A class of non-degenerate two-phase stefan problems in several space variables
- A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
- A free-boundary problem for the heat equation arising in flame propagation
- Regular points for elliptic equations with discontinuous coefficients
- Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
- A harnack inequality approach to the regularity of free boundaries
- Eigenvalue inequalities for the dirichlet problem on spheres and the growth of subharmonic functions
- On the theory of laminar flames
- A Harnack Inequality Approach to the Regularity of Free Boundaries. Part I: Lipschitz Free Boundaries are C^1, α
- The Stefan problem in several space variables
- Estimates of caloric measure and the initial-Dirichlet problem for the heat equation in Lipschitz cylinders
- Uniform estimates and limits for a two phase parabolic singular perturbation problem
- A theorem of real analysis and its application to free boundary problems
- Caloric functions in Lipschitz domains and the regularity of solutions to phase transition problems
- Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
Cited by
- Compliance optimization for thin elastic structures
- Structure of one-phase free boundaries in the plane
- Studies of the Boundary Behaviour of Functions Related to Partial Differential Equations and Several Complex Variables
- Symmetry in multi-phase overdetermined problems
- The structure of finite Morse index solutions to two free boundary problems in R^2
- Modular forms, a computational approach
- Nodal set of strongly competition systems with fractional Laplacian
- Linear and Quasi-Linear Evolution Equations in Hilbert Spaces
- Existence and regularity results for some shape optimization problems
- Regularity Estimates for Nonlinear Elliptic and Parabolic Problems: Cetraro, Italy 2009
- A bifurcation phenomenon in a singularly perturbed one-phase free boundary problem of phase transition
- A stochastic moving boundary value problem
- Some remarks on stability of cones for the one-phase free boundary problem
- Seminario di Analisi Matematica Dipartimento di Matematica dell'Universitdi Bologna
- About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case
- Kiselman's principle, the Dirichlet problem for the Monge-Ampere equation, and rooftop obstacle problems
- Well-posedness for the Classical Stefan Problem and the Zero Surface Tension Limit
- Tornado solutions for semilinear elliptic equations in ℝ²: regularity
- Functional Analysis, Sobolev Spaces and Partial Differential Equations
- Existence and regularity of higher critical points for elliptic free boundary problems
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