Heat Equation and the Volume of Tubes.
Harold Donnelly (1975)
Inventiones mathematicae
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Harold Donnelly (1975)
Inventiones mathematicae
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M. Atiyah, R. Bott, V.K. Patodi (1973)
Inventiones mathematicae
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M. Shah (1973)
Matematički Vesnik
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S. Kesavan, A.s. Vasudevamurthy (1985)
Numerische Mathematik
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W. Mydlarczyk (1987)
Applicationes Mathematicae
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Ján Filo, Stephan Luckhaus (2000)
Journal of the European Mathematical Society
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An asymptotic analysis is given for the heat equation with mixed boundary conditions rapidly oscillating between Dirichlet and Neumann type. We try to present a general framework where deterministic homogenization methods can be applied to calculate the second term in the asymptotic expansion with respect to the small parameter characterizing the oscillations.
S. Desjardins, P. Gilkey (1994)
Mathematische Zeitschrift
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Jean-Michel Bismut (1986)
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Gerd Grubb, Robert T. Seeley (1995)
Inventiones mathematicae
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