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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients
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by Constantine J. Callias and Gunther A. Uhlmann PDF
Bull. Amer. Math. Soc. 11 (1984), 172-176
  • Constantine J. Callias, The heat equation with singular coefficients. I. Operators of the form $-d^{2}/dx^{2}+\kappa /x^{2}$ in dimension $1$, Comm. Math. Phys. 88 (1983), no. 3, 357–385. MR 701923, DOI 10.1007/BF01213214
  • [C2] C. Callias, Asymptotics of the heat kernel for Schrödinger operators with isolated singularities in the coefficients, 1982 (preprint).
  • Constantine J. Callias, The resolvent and the heat kernel for some singular boundary problems, Comm. Partial Differential Equations 13 (1988), no. 9, 1113–1155. MR 946284, DOI 10.1080/03605308808820570
  • [CM] C. Callias and X. Markenscoff, Singular asymptotics of integrals and the near field radaited from a non-uniformly moving dislocation, Ninth U. S. Congress of Applied Mechanics, Cornell Univ., June 1982.
  • Constantine Callias and Clifford H. Taubes, Functional determinants in Euclidean Yang-Mills theory, Comm. Math. Phys. 77 (1980), no. 3, 229–250. MR 594302, DOI 10.1007/BF01269922
  • Peter Greiner, An asymptotic expansion for the heat equation, Arch. Rational Mech. Anal. 41 (1971), 163–218. MR 331441, DOI 10.1007/BF00276190
  • Peter D. Lax, Asymptotic solutions of oscillatory initial value problems, Duke Math. J. 24 (1957), 627–646. MR 97628
  • [M] R. B. Melrose, Lectures on scattering theory, M.I.T., 1981.
  • Ralph S. Phillips, Scattering theory for the wave equation with a short range perturbation, Indiana Univ. Math. J. 31 (1982), no. 5, 609–639. MR 667785, DOI 10.1512/iumj.1982.31.31045
  • Michael Reed and Barry Simon, Methods of modern mathematical physics. I, 2nd ed., Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1980. Functional analysis. MR 751959
  • [S] R. Seeley, Asymptotics of certain integrals of symbols, 1983 (preprint).
  • G. A. Uhlmann, Light intensity distribution in conical refraction, Comm. Pure Appl. Math. 35 (1982), no. 1, 69–80. MR 637495, DOI 10.1002/cpa.3160350104
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 11 (1984), 172-176
  • MSC (1980): Primary 35P25, 35K05, 41A60, 58G99; Secondary 35A30, 35L05, 35R05
  • DOI:
  • MathSciNet review: 741733