An approach of deterministic control problems with unbounded data
G. Barles (1990)
Annales de l'I.H.P. Analyse non linéaire
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G. Barles (1990)
Annales de l'I.H.P. Analyse non linéaire
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P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)
Annales de l'I.H.P. Analyse non linéaire
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Hitoshi Ishii (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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L. C. Evans, H. Ishii (1985)
Annales de l'I.H.P. Analyse non linéaire
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Pierre-Louis Lions, Panagiotis E. Souganidis, Juan Luis Vázquez (1987)
Revista Matemática Iberoamericana
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We study the relation between the porous medium equation ut = Δ(um), m > 1, and the eikonal equation vt = |Dv|2. Under quite general assumtions, we prove that the pressure and the interface of the solution of the Cauchy problem for the porous medium equation converge as m↓1 to the viscosity solution and the interface of the Cauchy problem for the eikonal equation. We also address the same...
Piermarco Cannarsa, Giuseppe Da Prato (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove an existence and uniqueness result for a class of Hamilton-Jacobi equations in Hilbert spaces.