Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation
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Publication:4312099
DOI10.1016/0362-546X(94)90255-0zbMath0820.35143MaRDI QIDQ4312099
Nobuyuki Kenmochi, Naoki Sato, Alain Damlamian
Publication date: 29 November 1994
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)
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Cites Work
- Asymptotic behavior of solutions to a class of nonlinear evolution equations
- An analysis of a phase field model of a free boundary
- Problèmes d'évolution dans les Hilberts et applications
- Some nonlinear parabolic variational inequalities
- Stefan Problem with Phase Relaxation
- Asymptotic behavior of solutions to a multi-phase Stefan problem
- Periodicity and almost periodicity of solutions to a multi-phase Stefan problem in several space variables
- Strong solutions for parabolic variational inequalities
- Some results on the multi-phase stefan problem
- The Stefan Problem in Several Space Variables
- Perturbations of nonlinear maximal monotone sets in banach space
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