Mean exit time from a bumpy sphere
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- by Mark A. Pinsky PDF
- Proc. Amer. Math. Soc. 122 (1994), 881-883 Request permission
Abstract:
We find the solution of $\Delta f = - 1$ in a deformation of a sphere in ${\Re ^d}$.References
- Avner Friedman, Stochastic differential equations and applications. Vol. 1, Probability and Mathematical Statistics, Vol. 28, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0494490
- D. Gilbarg and James Serrin, On isolated singularities of solutions of second order elliptic differential equations, J. Analyse Math. 4 (1955/56), 309–340. MR 81416, DOI 10.1007/BF02787726
- Mark A. Pinsky, Partial differential equations and boundary value problems with applications, 2nd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991. With an appendix by Alfred Gray. MR 1233559
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 881-883
- MSC: Primary 35J05; Secondary 60J05
- DOI: https://doi.org/10.1090/S0002-9939-1994-1203991-1
- MathSciNet review: 1203991