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Elliptic perturbation for linear and nonlinear equations with a singular point

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References

  • [CL] M. G. Crandall and P. L. Lions,Viscosity solutions of Hamilton-Jacobi equations, Trans. Am. Math. Soc.277 (1983), 1–42.

    Article  MATH  MathSciNet  Google Scholar 

  • [D] M. Day,Recent progress on the small parameter exit problem, preprint.

  • [E] A. Eizenberg,The vanishing viscosity method for Hamilton-Jacobi equations with a singular point of attracting type, Commun. PDE12 (1987), 1–20.

    Article  MATH  MathSciNet  Google Scholar 

  • [EI] L. C. Evans and H. Ishii,A PDE approach to some asymptotic problems concerning random differential equations with small noise intensities, Ann. Inst. H. Poincare, Anal. Non. Lin.2 (1985), 1–20.

    MATH  MathSciNet  Google Scholar 

  • [FS] W. H. Fleming and P. E. Souganidis,Asymptotic series and the method of vanishing viscosity, Indiana Univ. Math. J.35 (1986), 425–447.

    Article  MATH  MathSciNet  Google Scholar 

  • [K1] S. Kamin,On elliptic singular perturbation problems with turning points, SIAM J. Math. Anal.10 (1979), 447–455.

    Article  MATH  MathSciNet  Google Scholar 

  • [K2] S. Kamin,Elliptic perturbation of a first order operator with a singular point of attracting type, Indiana Univ. Math. J.27 (1978), 935–952.

    Article  MATH  MathSciNet  Google Scholar 

  • [K3] S. Kamin,Exponential descent of solutions of elliptic singular perturbation problems, Commun. PDE9 (2) (1984), 197–213.

    MATH  MathSciNet  Google Scholar 

  • [K4] S. Kamin,Singlar perturbation problems and the Hamilton-Jacobi equation, Integr. Eq. Oper. Th.9 (1986), 95–105.

    Article  MATH  MathSciNet  Google Scholar 

  • [L] P. L. Lions,Generalized Solutions of Hamilton-Jacobi equations, Pitman, London, 1982.

    MATH  Google Scholar 

  • [M] C. Miranda,Partial Differential Equations of Elliptic Type, Springer-Verlag, 1970.

  • [MS] B. J. Matkowsky and Z. Schuss,The exit problem for randomly perturbed dynamical systems, SIAM J. Appl. Math.33 (1977), 365–382.

    Article  MATH  MathSciNet  Google Scholar 

  • [VF] A. D. Ventcel and M. I. Freidlin,On small perturbations of dynamical systems, Uspehi mat. Nauk25 (1970), 3–55; Russian Math. Surveys25 (1970), 1–56.

    MATH  MathSciNet  Google Scholar 

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  1. School of Mathematical Sciences, Raymond and Beverley Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel

    S. Kamin

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  1. S. Kamin
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Kamin, S. Elliptic perturbation for linear and nonlinear equations with a singular point. J. Anal. Math. 50, 241–257 (1988). https://doi.org/10.1007/BF02796125

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  • DOI: https://doi.org/10.1007/BF02796125

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