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Found 83 Documents (Results 1–83)

Spectral asymptotics of linear and nonlinear pencils of pseudodifferential operators that are elliptic in the Douglas-Nirenberg sense. (English. Russian original) Zbl 0798.58072

Sov. Math., Dokl. 45, No. 1, 99-104 (1992); translation from Dokl. Akad. Nauk SSSR 322, No. 3, 441-445 (1992).
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Asymptotic behavior of the energy for an integro-differential equation describing acoustic waves in a relaxation medium. (English. Russian original) Zbl 0752.45019

Sov. Math., Dokl. 43, No. 2, 503-507 (1991); translation from Dokl. Akad. Nauk SSSR 317, No. 4, 792-797 (1991).
MSC:  45K05 45M05
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Asymptotic expansions “in the large” of solutions of the complex Cauchy problem with singular initial data. (English. Russian original) Zbl 0798.58076

Sov. Math., Dokl. 44, No. 3, 674-677 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 2, 250-253 (1991).
Reviewer: N.Jacob (Erlangen)
MSC:  58J47 58J37 35G10
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A classical regularized trace formula for the eigenvalues of the Laplace- Beltrami operator with a potential on the sphere \(S^ 2\). (English. Russian original) Zbl 0789.35129

Sov. Math., Dokl. 44, No. 1, 56-58 (1992); translation from Dokl. Akad. Nauk SSSR 319, No. 1, 61-62 (1991).
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A formula for the first regularized trace of the Laplace-Beltrami operator with a potential. (English. Russian original) Zbl 0789.58074

Sov. Math., Dokl. 43, No. 3, 794-796 (1991); translation from Dokl. Akad. Nauk SSSR 318, No. 4, 825-827 (1991).
MSC:  58J50 58J37 35J05
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On the solvability of an elliptic problem in \(\mathbb{R}{}^ n\) with a supercritical index of nonlinearity. (English. Russian original) Zbl 0765.35017

Sov. Math., Dokl. 42, No. 1, 215-219 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 6, 1356-1360 (1990).
Reviewer: M.Biroli (Monza)
MSC:  35J60 35B32 35B40
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Spectral asymptotics of polynomial pencils of differential operators. (English. Russian original) Zbl 0738.47013

Sov. Math., Dokl. 42, No. 1, 120-124 (1991); translation from Dokl. Akad. Nauk SSSR 313, No. 5, 1036-1040 (1990).
MSC:  47A56 47A10
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Deviation probabilities for randomized decomposable statistics in a polynomial scheme. (English. Russian original) Zbl 0662.60041

Sov. Math., Dokl. 36, 583-585 (1988); translation from Dokl. Akad. Nauk SSSR 297, 1062-1064 (1987).
Reviewer: J.Steinebach
MSC:  60F10 62E20
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Improved two-term asymptotics of the distribution function of the eigenvalues of an elliptic operator on a compact manifold. (English. Russian original) Zbl 0701.35122

Sov. Math., Dokl. 35, No. 3, 604-607 (1987); translation from Dokl. Akad. Nauk SSSR 294, No. 5, 1037-1041 (1987).
Reviewer: J.H.Tian
MSC:  35P20 35J15
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On the asymptotics of the solution of a boundary value problem for a quasilinear elliptic equation. (English. Russian original) Zbl 0611.35025

Sov. Math., Dokl. 31, 121-124 (1985); translation from Dokl. Akad. Nauk SSSR 280, 549-552 (1985).
Reviewer: D.Ştefănescu
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Nonlinear perturbations of regular spectral problems with a parameter in the boundary conditions and the completeness of their eigenfunctions. (English. Russian original) Zbl 0589.34023

Sov. Math., Dokl. 30, 276-281 (1984); translation from Dokl. Akad. Nauk SSSR 277, 1318-1323 (1984).
Reviewer: B.D.Sleeman
MSC:  34L99 34E10
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The method of approximate spectral projection as a general method for proving the classical formula for the asymptotic behavior of a spectrum. (English. Russian original) Zbl 0537.35062

Sov. Math., Dokl. 28, 78-82 (1983); translation from Dokl. Akad. Nauk SSSR 271, 287-291 (1983).
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“Isomonodromic” solutions of the sine-Gordon equation and the time asymptotics of its rapidly decreasing solutions. (English. Russian original) Zbl 0588.35076

Sov. Math., Dokl. 26, 244-247 (1982); translation from Dokl. Akad. Nauk SSSR 265, 1302-1306 (1982).
Reviewer: N.D.Kazarinoff
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On quasiclassical spectral asymptotics for the Schrödinger operator on manifolds with boundary and for h-pseudodifferential operators acting in bundles. (English. Russian original) Zbl 0543.35078

Sov. Math., Dokl. 26, 285-289 (1982); translation from Dokl. Akad. Nauk SSSR 266, 14-18 (1982).
Reviewer: D.Robert
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On the second term of the spectral asymptotics for the Laplace-Beltrami operator on manifolds with boundary and for elliptic operators acting in fiberings. (English. Russian original) Zbl 0448.58024

Sov. Math., Dokl. 21, 300-302 (1980); translation from Dokl. Akad. Nauk SSSR 250, 1300-1302 (1980).
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