Transition layer for the heterogeneous Allen–Cahn equation
Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Juan Dávila, Marcelo Montenegro (2005)
Annales de l'I.H.P. Analyse non linéaire
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E. Sanchez-Palencia (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider singular perturbation variational problems depending on a small parameter . The right hand side is such that the energy does not remain bounded as . The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after...
Joel W Robbin, Dietmar A Salamon (2001)
Annales de l'I.H.P. Analyse non linéaire
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Marius Dădărlat (1987)
Mathematica Slovaca
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