Comparison principle and Liouville type results for singular fully nonlinear operators
Isabeau Birindelli, Françoise Demengel (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “An asymptotic formula for the Green's function of an elliptic operator”
Comparison principle and Liouville type results for singular fully nonlinear operators
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The relation between the porous medium and the eikonal equations in several space dimensions.
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...
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P. L. Lions, B. Perthame (1989)
Annales de l'I.H.P. Analyse non linéaire
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