SINGULAR FREE BOUNDARY PROBLEM FROM IMAGE PROCESSING
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Publication:5463105
DOI10.1142/S0218202505000509zbMath1081.35054OpenAlexW1963831831MaRDI QIDQ5463105
Juan Luis Vazquez, Anna Lisa Amadori
Publication date: 1 August 2005
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202505000509
Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35)
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Cites Work
- A boundary modulus of continuity for a class of singular parabolic equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Nonstationary filtration in partially saturated porous media
- Hyperbolic phenomena in a strongly degenerate parabolic equation
- Axioms and fundamental equations of image processing
- \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
- On the total variation of solutions of parabolic equations
- An elliptic-parabolic free boundary problem
- An elliptic-parabolic free boundary problem: continuity of the interface
- AXIOMATIC DERIVATION OF IMAGE PROCESSING MODELS
- An axiomatic approach to image interpolation
- Self-similar intermediate asymptotics for nonlinear degenerate parabolic free-boundary problems that occur in image processing