Degenerate regularization of forward-backward parabolic equations: the regularized problem
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Publication:2276294
DOI10.1007/s00205-011-0470-7zbMath1255.35149OpenAlexW2083071301MaRDI QIDQ2276294
Flavia Smarrazzo, Tesei, Alberto
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-011-0470-7
singular solutionregularization methodone space dimensionmeasure-valued solutioncontinuous solutionPerona-Malik equationRadon measure space
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Cites Work
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- On a class of equations with variable parabolicity direction
- Two-phase entropy solutions of a forward-backward parabolic equation
- Hysteresis and phase transitions
- Degenerate regularization of forward-backward parabolic equations: the vanishing viscosity limit
- Stable Patterns in a Viscous Diffusion Equation
- A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
- Sobolev regularization of a nonlinear ill-posed parabolic problem as a model for aggregating populations
- IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
- A survey of entropy methods for partial differential equations
- Long-Time Behavior of Solutions to a Class of Forward-Backward Parabolic Equations
- Forward-backward parabolic equations and hysteresis