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 Mat. Sb. (N.S.), 1963, Volume 62(104), Number 4, Pages 397–468 (Mi msb4607)

Asymptotic behaviour as $t\to+0$, $x\to\infty$, of the Green's function for equations well-posed in the Petrovsky sense with constant coefficients, and well-posed classes for a solution of the Cauchy problem

M. V. Fedoryuk

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Citation: M. V. Fedoryuk, “Asymptotic behaviour as $t\to+0$, $x\to\infty$, of the Green's function for equations well-posed in the Petrovsky sense with constant coefficients, and well-posed classes for a solution of the Cauchy problem”, Mat. Sb. (N.S.), 62(104):4 (1963), 397–468

Citation in format AMSBIB
\Bibitem{Fed63} \by M.~V.~Fedoryuk \paper Asymptotic behaviour as $t\to+0$, $x\to\infty$, of the Green's function for equations well-posed in the Petrovsky sense with constant coefficients, and well-posed classes for a solution of the Cauchy problem \jour Mat. Sb. (N.S.) \yr 1963 \vol 62(104) \issue 4 \pages 397--468 \mathnet{http://mi.mathnet.ru/msb4607} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=172015} \zmath{https://zbmath.org/?q=an:0152.09704} 

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• http://mi.mathnet.ru/eng/msb/v104/i4/p397

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. M. A. Evgrafov, M. M. Postnikov, “Asymptotic behavior of Green's functions for parabolic and elliptic equations with constant coefficients”, Math. USSR-Sb., 11:1 (1970), 1–24
2. M. V. Fedoryuk, “The stationary phase method and pseudodifferential operators”, Russian Math. Surveys, 6:1 (1971), 65–115
3. L. R. Volevich, S. G. Gindikin, “The cauchy problem and other related problems for convolution equations”, Russian Math. Surveys, 27:4 (1972), 71–160
4. S. G. Gindikin, M. V. Fedoryuk, “Asymptotics of the fundamental solution of a Petrovskii parabolic equation with constant coefficients”, Math. USSR-Sb., 20:4 (1973), 519–542
5. S. G. Gindikin, M. V. Fedoryuk, “Asimptotika fundamentalnogo resheniya parabolicheskogo uravneniya s postoyannymi koeffitsientami”, UMN, 28:1(169) (1973), 235–236
6. S. G. Gindikin, M. V. Fedoryuk, “Saddle points of parabolic polynomials”, Math. USSR-Sb., 23:3 (1974), 362–381
7. V. P. Palamodov, “The work of G. E. Shilov in the theory of generalized functions and differential equations”, Russian Math. Surveys, 33:4 (1978), 219–235
8. Suleimanov N., “On the Exactness of Wiman-Valiron-Type Estimates for the Solutions of Evolutionary Equations”, 253, no. 3, 1980, 541–544
9. Serdyukova S.I., “Deformation of a breather-type solution after adding a lower order term with a complex coefficient”, Dokl. Math., 80:1 (2009), 463–469
10. S. A. Stepin, “Kernel estimates and the regularized trace of the semigroup generated by a potential perturbation of the bi-Laplacian”, Russian Math. Surveys, 66:3 (2011), 635–636
11. S. A. Stepin, “Asymptotic estimates for the kernel of the semigroup generated by a perturbation of the biharmonic operator by a potential”, Sb. Math., 203:6 (2012), 893–921