Global well-posedness for two-dimensional semilinear wave equations.
Fonseca, Germán E. (2000)
Revista Colombiana de Matemáticas
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Fonseca, Germán E. (2000)
Revista Colombiana de Matemáticas
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Boris Haspot (2009)
Annales mathématiques Blaise Pascal
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This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [
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Kordoš, M. (2004)
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Salvatore Greco, Roman Słowiński, Izabela Szczęch (2009)
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Gladkov, Alexander, Prokhozhy, Sergey (2005)
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Lorina Dascal, Shoshana Kamin, Nir A. Sochen (2005)
RACSAM
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The Beltrami framework for image processing and analysis introduces a non-linear parabolic problem, called in this context the Beltrami flow. We study in the framework for functions of bounded variation, the well-posedness of the Beltrami flow in the one-dimensional case. We prove existence and uniqueness of the weak solution using lower semi-continuity results for convex functions of measures. The solution is defined via a variational inequality, following Temam?s technique for the...
Muntean, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Kevorchian, Cristian, Modan, Laurenţiu (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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