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Found 336 Documents (Results 1–100)

On asymptotic properties of solutions of diffusion equations. (English. Russian original) Zbl 1514.35042

J. Math. Sci., New York 114, No. 4, 1407-1428 (2003); translation from Tr. Semin. Im. I. G. Petrovskogo 22, 37-70 (2002).
MSC:  35B40 35C20 35K55
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On the mixed problem for Laplace equation outside cuts placed along a circumference in a plane. (English) Zbl 1284.30032

Begehr, Heinrich G. (ed.) et al., Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20–25, 2001. River Edge, NJ: World Scientific (ISBN 981-238-572-X/set; 981-238-968-7/v.1; 981-238-967-9/v.2). 753-762 (2003).
MSC:  30E25 35C15 35J25
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Construction of a right inverse operator to the discrete Cauchy-Riemann operator. (English) Zbl 1284.30042

Begehr, Heinrich G. (ed.) et al., Progress in analysis. Vol. I, II. Proceedings of the 3rd international congress of the International Society for Analysis, its Applications and Computation (ISAAC), Berlin, Germany, August 20–25, 2001. River Edge, NJ: World Scientific (ISBN 981-238-572-X/set; 981-238-968-7/v.1; 981-238-967-9/v.2). 367-374 (2003).
MSC:  30G25 30G20 35C15
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The skew derivative problem outside the cuts on a plane for the Helmholtz equation. (English. Russian original) Zbl 1260.35024

Mosc. Univ. Phys. Bull. 58, No. 4, 21-25 (2003); translation from Vest. Mosk. Univ., Ser. III 2003, No. 4, 15-18 (2003).
MSC:  35J05 35C15
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Geometrical analysis related to the application of Atkinson-Wilcox theorem. (English) Zbl 1253.35036

Marinov, Marin (ed.) et al., Applications of mathematics in engineering and economics. Proceedings of the 28th international summer school, AMEE ’02, Sozopol, Bulgaria, June 8–11, 2002. Sofia: Bulvest (ISBN 954-18-0301-6/pbk). 138-143 (2003).
MSC:  35J05 35P25 35C20
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Novel solutions of the Davey-Stewartson II equation. (English) Zbl 1188.35173

González-López, Artemio (ed.) et al., Proceedings of the X fall workshop on geometry and physics. Proceedings of the workshop held in Miraflores de la Sierra (Madrid), Spain, September 27–29, 2001. Madrid: Real Sociedad Matemática Española (ISBN 84-92381-88-4/pbk). Publicaciones de la Real Sociedad Matemática Española 4, 77-84 (2003).
MSC:  35Q55 35C05 35B65
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Grid approximation of improved convergence order for a singularly perturbed elliptic convection-diffusion equation. (English) Zbl 1125.35310

Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S184-S202 (2003).
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The method of asymptotic partial decomposition of domain and partial homogenization. (English) Zbl 1125.35316

Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S161-S167 (2003).
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On the asymptotics of a solution of a second order elliptic equation with small parameter at a higher derivative. (English) Zbl 1210.35059

Danilin, A. R. (ed.), Asymptotic expansions, approximation theory, topology. Transl. from the Russian. Moscow: Maik Nauka / Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 1, S129-S143 (2003).
MSC:  35J25 35B25 35C20
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Constructing new classes of solutions of a nonlinear filtration equation by special consistent series. (English) Zbl 1127.35315

Vasil’eva, E. V. (ed.), Fluid dynamics. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 2, S182-S193 (2003).
MSC:  35C10 76S05
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On complete integral of quasi-linear second order differential equations with two independent variables. (English) Zbl 1127.35321

Vasil’eva, E. V. (ed.), Fluid dynamics. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2003, Suppl. 2, S104-S114 (2003).
MSC:  35G20 35C15 35A25
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Probability representations and the Monte Carlo method for solving equations with powers of elliptic operators. (English. Russian original) Zbl 1282.35150

Dokl. Math. 67, No. 3, 423-425 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 6, 740-742 (2003).
MSC:  35J25 35C05 60J05
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The Feynman formulas for solving infinite-dimensional Schrödinger equations with polynomial potentials. (English. Russian original) Zbl 1247.81244

Dokl. Math. 67, No. 3, 369-372 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 390, No. 3, 321-324 (2003).
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Probabilistic representations of solutions to the Cauchy problem for systems of parabolic equations. (English. Russian original) Zbl 1247.35057

Dokl. Math. 67, No. 2, 213-216 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 389, No. 4, 444-447 (2003).
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Exact solutions for rotation fluid equation. (English) Zbl 1370.76185

Li, Jian Ping (ed.) et al., Proceedings of the third international conference on wavelet analysis and its applications (WAA), Chongqing, PR China, May 29–31, 2003. 2 Vols. River Edge, NJ: World Scientific (ISBN 981-238-342-5/hbk/set). 909-913 (2003).
MSC:  76U05 35Q35 35C05
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Limit relations for the first order partial derivatives of a function represented by the Kirchhoff formula and applications. (English) Zbl 1101.35313

Blatt, H.-P. (ed.) et al., Analytical and approximate methods. Proceedings of the international conference at the Kyrgyz-Russian-Slavic University Bishkek, Kyrgyzstan, September 23–24, 2002. Aachen: Shaker Verlag (ISBN 3-8322-2147-6/pbk). Berichte aus der Mathematik, 119-125 (2003).
MSC:  35C15 35L05 35L20
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Existence and qualitative analysis of exact nonselfsimilar solutions of a multi-dimensional equation of nonlinear diffusion. (Russian) Zbl 1090.35513

Trenogin, V.A. (ed.) et al., Nonlinear analysis and nonlinear differential equations. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 352-396 (2003).
MSC:  35C05 35K65 35K55
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Asymptotic solutions of long wave type for a class of boundary value problems in mathematical physics. (Russian) Zbl 1166.35327

Trenogin, V.A. (ed.) et al., Nelineĭnyĭanaliz i nelineĭnye differentsial’nye uravneniya. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 145-196 (2003).
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The stationary Vlasov-Maxwell system in bounded domains. (Russian) Zbl 1095.35050

Trenogin, V.A. (ed.) et al., Nonlinear analysis and nonlinear differential equations. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 50-88 (2003).
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Averaging of a problem with an obstacle. (Russian, English) Zbl 1085.35030

Vestn. Mosk. Univ., Ser. I 2003, No. 5, 8-17 (2003); translation in Mosc. Univ. Math. Bull. 58, No. 5, 7-16 (2003).
MSC:  35B27 35B40 35C20
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Diffraction of the plane wave by an impedance cone. (English. Russian original) Zbl 1081.78009

J. Math. Sci., New York 127, No. 6, 2446-2460 (2005); translation from Zap. Nauchn. Semin. POMI 297, 191-215 (2003).
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The asymptotic of the solution to the Dirichlet problem for Poisson’s equation in domains with a narrow slit. (Russian, English) Zbl 1121.35308

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 12, 1786-1805 (2003); translation in Comput. Math. Math. Phys. 43, No. 12, 1718-1737 (2003).
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On singularities of solutions of singularly perturbed boundary value problems when the roots of a degenerate equation merge. (Russian, English) Zbl 1078.35052

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 4, 554-561 (2003); translation in Comput. Math. Math. Phys. 43, No. 4, 529-536 (2003).
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Diffusion on ellipsoidal surfaces and the formalism of surface spheroidal functions. (Russian, English) Zbl 1077.33032

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 3, 435-439 (2003); translation in Comput. Math. Math. Phys. 43, No. 3, 416-419 (2003).
MSC:  33E10 35K05 35C10
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Boundary value problems for a Lavrent’ev-Bitsadze equation with a complex parameter. (English. Russian original) Zbl 1084.35050

Russ. Math. 47, No. 3, 46-55 (2003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2003, No. 3, 49-58 (2003).
MSC:  35M10 35C15 35G15
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Application of the concordance method of asymptotic expansions to solving boundary-value problems. (English) Zbl 1084.35008

J. Math. Sci., New York 125, No. 5, 610-657 (2005); translation from Sovrem. Mat. Prilozh. 5, Asimptot. Metody Funkts. Anal., 33-78 (2003).
Reviewer: Jiaqi Mo (Wuhu)
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Exponential asymptotics of the solution of the second boundary value problem for a second-order parabolic equation with a small parameter. (English. Russian original) Zbl 1065.35033

Differ. Equ. 39, No. 6, 853-864 (2003); translation from Differ. Uravn. 39, No. 6, 809-819 (2003).
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An estimate of the solution of a problem for a parabolic-hyperbolic equation with the use of Fourier series. (English. Russian original) Zbl 1123.35337

Differ. Equ. 39, No. 5, 694-700 (2003); translation from Differ. Uravn. 39, No. 5, 656-662 (2003).
MSC:  35M10 35C10
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Representation of solutions of initial-boundary value problems for nonlinear partial differential equations by the method of special series. (English. Russian original) Zbl 1123.35312

Differ. Equ. 39, No. 8, 1159-1166 (2003); translation from Differ. Uravn. 39, No. 8, 1100-1107 (2003).
MSC:  35C10 35G20
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Justification of the asymptotic expansion of the solution of a two-dimensional flow problem for small Reynolds numbers. (English. Russian original) Zbl 1067.35067

Izv. Math. 67, No. 5, 975-1006 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 5, 125-154 (2003).
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