Periodic solutions for the Allen-Cahn equation

[1]  Juncheng Wei,et al.  Singly Periodic Solutions of the Allen-Cahn Equation and the Toda Lattice , 2015 .

[2]  Raad A. Hameed,et al.  Existence of periodic solutions of a p-Laplacian-Neumann problem , 2013 .

[3]  Jingxue Yin,et al.  Coexistence periodic solutions of a doubly nonlinear parabolic system with Neumann boundary conditions , 2012 .

[4]  Jian Deng.  Existence of positive radial solutions for a nonlinear elliptic problem in annulus domains , 2012 .

[5]  H. Matano,et al.  Large time behavior of disturbed planar fronts in the Allen–Cahn equation☆ , 2011 .

[6]  E. Cirillo,et al.  Allen-Cahn and Cahn-Hilliard-like equations for dissipative dynamics of saturated porous media , 2011, 1110.5457.

[7]  Jingxue Yin,et al.  Periodic solutions for a class of degenerate parabolic equations with Neumann boundary conditions , 2011 .

[8]  Jingxue Yin,et al.  Periodic solutions of the evolutionary p-Laplacian with nonlinear sources☆ , 2010 .

[9]  Xiaofeng Yang,et al.  Numerical approximations of Allen-Cahn and Cahn-Hilliard equations , 2010 .

[10]  M. Novaga,et al.  MULTIBUMP SOLUTIONS AND ASYMPTOTIC EXPANSIONS FOR MESOSCOPIC ALLEN-CAHN TYPE EQUATIONS ∗ , 2009 .

[11]  R. Llave,et al.  Multiplicity results for interfaces of Ginzburg–Landau–Allen–Cahn equations in periodic media , 2007 .

[12]  Yuanyuan Ke,et al.  Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms , 2005 .

[13]  Pavol Quittner,et al.  Multiple equilibria, periodic solutions and a priori bounds for solutions in superlinear parabolic problems , 2004 .

[14]  Wang Yifu,et al.  Periodic Solutions of Evolutionp-Laplacian Equations with Nonlinear Sources , 1998 .

[15]  M. Gurtin.  Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance , 1996 .

[16]  N. Mizoguchi,et al.  Positive unstable periodic solutions for superlinear parabolic equations , 1995 .

[17]  F. M. Arscott,et al.  PERIODIC‐PARABOLIC BOUNDARY VALUE PROBLEMS AND POSITIVITY , 1992 .

[18]  J. Cahn,et al.  A microscopic theory for antiphase boundary motion and its application to antiphase domain coasening , 1979 .

[19]  Thomas I. Seidman,et al.  Periodic solutions of a non-linear parabolic equation , 1975 .

[20]  T. Bartsch,et al.  Liouville-type theorems and asymptotic behavior of nodal radial solutions of semilinear heat equations , 2011 .

[21]  Enrico Valdinoci,et al.  Bump solutions for the mesoscopic Allen–Cahn equation in periodic media , 2011 .

[22]  H. Amann.  ON PERIODIC SOLUTIONS OF SUPERLINEAR PARABOLIC PROBLEMS , 2002 .

[23]  J. H. Uska.  PERIODIC SOLUTIONS IN SUPERLINEAR PARABOLIC PROBLEMS , 2002 .

[24]  P. Hess,et al.  Periodic-Parabolic Boundary Value Problems and Positivity , 1991 .

[25]  M. Esteban.  A remark on the existence of positive periodic solutions of superlinear parabolic problems , 1988 .

[26]  Maria J. Esteban,et al.  On periodic solutions of superlinear parabolic problems , 1986 .