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Representation of the solution to a boundary-value problem as a continuum integral. (English) Zbl 0396.35053
MSC:
35K20 Initial-boundary value problems for second-order parabolic equations
35C15 Integral representations of solutions to PDEs
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References:
[1] A. L. Alimov and V. S. Buslaev, ”On the continuum integral for a parabolic equation of second order,” Vestn. Leningr. Univ., Ser. Mat.1, No. 1, 5–14 (1972). · Zbl 0226.35042
[2] V. S. Buslaev, ”Continuum integrals and the asymptotic behavior of solutions to parabolic equations as t. Application to diffraction,” in: Probl. Mat. Fiz., No. 2, Leningrad (1967), pp. 85–107.
[3] F. A. Berezin, ”Covariant and contravariant symbols of operators,” Izv. Akad. Nauk SSSR, Ser. Mat.,36, No. 5, 1134–1167 (1972).
[4] T. Kato, Perturbation Theory for Linear Operators, Springer-Verlag, New York (1966). · Zbl 0148.12601
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