Renormalized entropy solutions of scalar conservation laws
Philippe Bénilan, Jose Carrillo, Petra Wittbold (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations”
Renormalized entropy solutions of scalar conservation laws
Entropy solutions for nonhomogeneous anisotropic problems
Elhoussine Azroul, Abdelkrim Barbara, Mohamed Badr Benboubker, Hassane Hjiaj (2014)
Applicationes Mathematicae
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We study a class of anisotropic nonlinear elliptic equations with variable exponent p⃗(·) growth. We obtain the existence of entropy solutions by using the truncation technique and some a priori estimates.
On the modified entropy equation.
Gselmann, Eszter (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Eigenvalue distributions of some degenerate elliptic operators: an approach via entropy numbers.
D.E. Edmunds, H. Triebel (1994)
Mathematische Annalen
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Obstacle problems for scalar conservation laws
Laurent Levi (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we are interested in bilateral obstacle problems for quasilinear scalar conservation laws associated with Dirichlet boundary conditions. Firstly, we provide a suitable entropy formulation which ensures uniqueness. Then, we justify the existence of a solution through the method of penalization and by referring to the notion of entropy process solution due to specific properties of bounded sequences in . Lastly, we study the behaviour of this solution...
Boltzmann-Gibbs entropy: Axiomatic characterization and application.
Chakrabarti, C.G., De, Kajal (2000)
International Journal of Mathematics and Mathematical Sciences
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An -theory of existence and uniqueness of solutions of nonlinear elliptic equations
Philippe Bénilan, Lucio Boccardo, Thierry Gallouët, Ron Gariepy, Michel Pierre, Juan Luis Vazquez (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Shannon entropy: axiomatic characterization and application.
Chakrabarti, C.G., Chakrabarty, Indranil (2005)
International Journal of Mathematics and Mathematical Sciences
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On the branching property of entropy
Inder Jeet Taneja (1977)
Annales Polonici Mathematici
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Maličky-Riečan's entropy as a version of operator entropy
Bartosz Frej (2006)
Fundamenta Mathematicae
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The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.
Entropy pairs of ℤ² and their directional properties
Kyewon Koh Park, Uijung Lee (2004)
Studia Mathematica
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Topological and metric entropy pairs of ℤ²-actions are defined and their properties are investigated, analogously to ℤ-actions. In particular, mixing properties are studied in connection with entropy pairs.
A new approach to mutual information
Fumio Hiai, Dénes Petz (2007)
Banach Center Publications
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A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.