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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 47
  3. Calculus of Variations and Partial Differential Equations : Volume 47, Issue 1-2, May 2013
  4. On a phase transition model
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 47, Issue 3-4, July 2013
Calculus of Variations and Partial Differential Equations : Volume 47, Issue 1-2, May 2013
On a phase transition model
Schrödinger–Poisson systems in the 3-sphere
Remarks on the minimizing geodesic problem in inviscid incompressible fluid mechanics
Singularly perturbed nonlinear Dirichlet problems involving critical growth
The maximum principle and the Dirichlet problem for Dirac-harmonic maps
First and second variation formulae for the sub-Riemannian area in three-dimensional pseudo-hermitian manifolds
Critical points for functionals with quasilinear singular Euler–Lagrange equations
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric
The improved decay rate for the heat semigroup with local magnetic field in the plane
Harmonic mappings and conformal minimal immersions of Riemann surfaces into $${\mathbb {R}^{\rm N}}$$
Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima
Variational formulation and structural stability of monotone equations
A gradient flow approach to a thin film approximation of the Muskat problem
Interface foliation for an inhomogeneous Allen–Cahn equation in Riemannian manifolds
Refined approximation for minimizers of a Landau-de Gennes energy functional
Erratum to: Partial regularity of stable solutions to the Emden equation
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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On a phase transition model

Content Provider SpringerLink
Author Byeon, Jaeyoung Rabiwitz, Paul H.
Copyright Year 2012
Abstract An Allen–Cahn phase transition model with a periodic nonautonomous term is presented for which an infinite number of transition states is shown to exist. A constrained minimization argument and the analysis of a limit problem are employed to get states having a finite number of transitions. A priori bounds and an approximation procedure give the general case. Decay properties are also studied and a sharp transition result with an arbitrary interface is proved.
Ending Page 23
Page Count 23
Starting Page 1
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 1-2
Volume Number 47
Language English
Publisher Springer-Verlag
Publisher Date 2012-02-15
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Homogenization; equations in media with periodic structure Variational methods Phase transitions (general) Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Analysis Theoretical, Mathematical and Computational Physics Variational methods for second-order elliptic equations Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian Variational principles
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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