@article{AIHPC_1992__9_5_479_0,
author = {Barles, G. and Bronsard, L. and Souganidis, P. E.},
title = {Front propagation for reaction-diffusion equations of bistable type},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {479--496},
publisher = {Gauthier-Villars},
volume = {9},
number = {5},
year = {1992},
mrnumber = {1191007},
zbl = {0794.35076},
language = {en},
url = {http://archive.numdam.org/item/AIHPC_1992__9_5_479_0/}
}
TY - JOUR AU - Barles, G. AU - Bronsard, L. AU - Souganidis, P. E. TI - Front propagation for reaction-diffusion equations of bistable type JO - Annales de l'I.H.P. Analyse non linéaire PY - 1992 SP - 479 EP - 496 VL - 9 IS - 5 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1992__9_5_479_0/ LA - en ID - AIHPC_1992__9_5_479_0 ER -
%0 Journal Article %A Barles, G. %A Bronsard, L. %A Souganidis, P. E. %T Front propagation for reaction-diffusion equations of bistable type %J Annales de l'I.H.P. Analyse non linéaire %D 1992 %P 479-496 %V 9 %N 5 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1992__9_5_479_0/ %G en %F AIHPC_1992__9_5_479_0
Barles, G.; Bronsard, L.; Souganidis, P. E. Front propagation for reaction-diffusion equations of bistable type. Annales de l'I.H.P. Analyse non linéaire, Tome 9 (1992) no. 5, pp. 479-496. http://archive.numdam.org/item/AIHPC_1992__9_5_479_0/
[AC] and , A Microscopic Theory for Antiphase Boundary Motion and its Application to Antiphase Domain Coarsening, Acta Metall., Vol. 27, 1979, pp. 1084-1095.
[AW] and , Multidimensional Nonlinear Diffusion Arising in Population Genetics, Adv. Math., Vol. 30, 1978, pp. 33-76. | MR | Zbl
[B] , A Remark on a Flame Propagation Model, Rapport I.N.R.I.A., #464, 1985.
[BES] , and , Wavefront Propagation for Reaction-Diffusion Systems of PDE, Duke U. Math. J., Vol. 61, 1990. | MR | Zbl
[BP] and , Exit Time Problems in Optimal Control and the Vanishing Viscosity Method, S.I.A.M. J. Cont. Opt., Vol. 26, 1988, pp. 113-148. | MR | Zbl
[BS] and , Convergence of Approximation Schemes for Fully Nonlinear Second Order Equations, J. Asympt. Analysis, 1991, pp. 271-283. | MR | Zbl
[BSS] , and , in preparation.
[BK1] and , Motion by Mean Curvature as the Singular Limit of Ginzburg-London Dynamics, J. Diff. Eq. (to appear). | Zbl
[BK2] and , On the Slowness of Phase Boundary Motion in One Space Dimension, Comm. Pure Appl. Math. (to appear). | MR | Zbl
[Ca] , A Conserved Phase Field System; Implication for Kinetic Undercooling, Phys. Rev. B.(to appear).
[CaF] and , Dynamics of Layered Interfaces Arising from Phase Boundaries, S.I.A.M. J. Applied Math., Vol. 48, 1988, pp. 506-518. | MR
[Ch] , Generation and Propagation of the Interface for Reaction-Diffusion Equations, J. Diff. Eq. (to appear). | MR | Zbl
[CP] and , Patterns in Solutions of ut = ∈2uxx-f(u), Comm. Pure Appl. Math., Vol. 42, 1989, pp. 523-576. | MR | Zbl
[CrIL] , and , Uniqueness of Viscosity Solutions Revisited, J. Math. Soc. Japan, Vol. 39, 1987, pp. 581-596. | MR | Zbl
[CrL] and , Viscosity Solutions of Hamilton-Jacobi Equations, Trans. A.M.S., Vol. 277, 1983, pp. 1-42. | MR | Zbl
[DS1] and , Geometrical Evolution of Developed Interfaces (preprint). | Zbl
[DS2] and , Development of Interfaces in RN (preprint). | Zbl
[EI] and , A PDE Approach to Some Asymptotic Problems Concerning Random Differential Equations with Small Noise Intensities, Ann. Inst. H. Poincaré, A.N.L., Vol. 2, 1985, pp. 1-20. | EuDML | Numdam | MR | Zbl
[ES1] and , A PDE Approach to Geometric Optics for Certain Reaction-Diffusion Equations, Ind. Un. Math. J., Vol. 38, 1989, pp. 141- 172. | MR | Zbl
[ES2] and , A PDE Approach to Certain Large Deviation Problems for Systems of Parabolic Equations, A.N.L., Contributions en l'honneur de J.-J. Moreau, Gauthier-Villars, 1989. | Numdam | MR | Zbl
[ESS] , and , The Allen-Cahn Equation and Generalized Motion by Mean Curvature (in preparation).
[FH] and , The Generation and Propagation of Internal Layers, J. Non-Linear Anal. (to appear). | Zbl
[FH] and , Slow Motion Manifold, Dormant Instability and Singular Perturbation, J. Dyn. and Diff. Eqs., Vol. 1, 1989, pp. 75-94. | MR | Zbl
[Fi] , Dynamics of Internal Layers and Diffusive Interfaces, C.B.M.S.-N.S.F., Regional Conference Series in Applied Math., No. 53, S.I.A.M., Philadelphia. | MR | Zbl
[F1] , Stochastic Control for Small Noise Intensities, S.I.A.M. J. Control., Vol. 9, 1971, pp. 473-517. | MR | Zbl
[FlS] and , PDE-Viscosity Solution Approach to Some Problems of Large Deviations, An. Scuola Norm. Sup., Vol. 13, 1986, pp. 171-192. | EuDML | Numdam | MR | Zbl
[Fr1] , Limit Theorems for Large Deviations and Reaction-Diffusion Equations, Annals of Prob., Vol. 13, 1985, pp. 639-675. | MR | Zbl
[Fr2] , Functional Integration and Partial Differential Equations, Annals of Math. Studies 109, Princeton University Press, Princeton, 1985. | MR | Zbl
[G] , Bistable Reaction-Diffusion Equations and Excitable Media, Math. Nachr., Vol. 112, 1983, pp. 125-152. | MR | Zbl
[GSS] , and , The Dynamics of First-Order Phase Transitions, in Phase Transitions and Critical Phenomena, C. DOMB and J. LIEBOWITZ Eds., Vol. 8, 1983, pp. 267-466. | MR
[I] , Hamilton-Jacobi Equations with Discontinuous Hamiltonians on Arbitrary Open Sets, Bull. Fac. Sci. Eng. Chuo Univ., Vol. 28, 1985, pp. 33-77. | MR | Zbl
[L] , Generalized Solutions of Hamilton-Jacobi Equations, Pitman, Boston, 1982. | MR | Zbl
[LSV] , and , The Relation Between the Porous-Medium and Eikonal Equations in Several Space Dimensions, Rev. Mat. Iberoamericana, Vol. 3, 1987, pp.275-310. | MR | Zbl
[P] ,Front Migration in the Nonlinear Cahn-Hilliard Equation, Proc. R. Soc. Lond., Vol. A 422, 1989, pp. 261-278. | MR | Zbl
[RSK] , and , Fast Reaction, Slow Diffusion, and Curve Shortening, S.I.A.M. Appl. Math., Vol. 49, 1989, pp. 116-133. | MR | Zbl
