Front propagation for reaction-diffusion equations of bistable type
G. Barles, L. Bronsard, P. E. Souganidis (1992)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “The porous medium equation as a finite-speed approximation to a Hamilton-Jacobi equation”
Front propagation for reaction-diffusion equations of bistable type
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...
A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities
L. C. Evans, H. Ishii (1985)
Annales de l'I.H.P. Analyse non linéaire
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Viscosity solutions of nonlinear integro-differential equations
Olivier Alvarez, Agnès Tourin (1996)
Annales de l'I.H.P. Analyse non linéaire
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Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders
Jean-Michel Roquejoffre (1997)
Annales de l'I.H.P. Analyse non linéaire
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Geometric restrictions for the existence of viscosity solutions
P. Cardaliaguet, B. Dacorogna, W. Gangbo, N. Georgy (1999)
Annales de l'I.H.P. Analyse non linéaire
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