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Found 424 Documents (Results 1–100)

On higher integrability of the gradient of solutions to the Zaremba problem for \(p\)-Laplace equation. (English. Russian original) Zbl 07786643

Dokl. Math. 108, No. 1, 282-285 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 47-51 (2023).
MSC:  35J92 35J25 35B45
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On solution existence for a singular nonlinear Burgers equation with small parameter and \(p\)-regularity theory. (English. Russian original) Zbl 07786637

Dokl. Math. 108, No. 1, 243-247 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 512, 5-9 (2023).
MSC:  35K58 35K20 35B20
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Nonstationary Venttsel problem with \(VMO_x\) leading coefficients. (English. Russian original) Zbl 1522.35300

Dokl. Math. 107, No. 2, 97-100 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 510, 13-17 (2023).
MSC:  35K20 35B45 35R05
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Nonlocal problems with generalized Samarskii-Ionkin condition for some classes of nonstationary differential equations. (English. Russian original) Zbl 1518.35431

Dokl. Math. 107, No. 1, 40-43 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 509, 50-53 (2023).
MSC:  35K20 35K70
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Applications of Zvonkin’s transform to stationary Kolmogorov equations. (English. Russian original) Zbl 1506.35056

Dokl. Math. 106, No. 2, 318-321 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 20-24 (2022).
MSC:  35J47 35A01
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On second-order parabolic and hyperbolic perturbations of a first-order hyperbolic system. (English. Russian original) Zbl 1504.35414

Dokl. Math. 106, No. 2, 308-314 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 506, 9-15 (2022).
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On numerical solution of a first kind integral equation with a weak singularity in the kernel on a closed surface. (English. Russian original) Zbl 1498.35184

Dokl. Math. 106, No. 1, 220-224 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 14-18 (2022).
MSC:  35J05 35J25 45Exx
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On the extremum control problem with pointwise observation for a parabolic equation. (English. Russian original) Zbl 1496.35224

Dokl. Math. 105, No. 3, 158-161 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 504, 28-31 (2022).
MSC:  35K20 35Q93 93B05
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On periodic solutions of quasilinear parabolic equations with boundary conditions of Bitsadze-Samarskii type. (English. Russian original) Zbl 1497.35306

Dokl. Math. 105, No. 2, 123-126 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 83-86 (2022).
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Classical solutions of the first boundary value problem for parabolic systems on the plane. (English. Russian original) Zbl 1494.35092

Dokl. Math. 105, No. 2, 109-111 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 67-69 (2022).
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Boundary problems for parabolic equations with degenerate boundary condition of the third kind. (English. Russian original) Zbl 1494.35091

Dokl. Math. 105, No. 2, 106-108 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 64-66 (2022).
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Uniqueness of solutions of initial-boundary value problems for parabolic systems with dini-continuous coefficients in domains on the plane. (English. Russian original) Zbl 1494.35004

Dokl. Math. 105, No. 2, 71-74 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 503, 26-29 (2022).
MSC:  35A02 35K51
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Hyperbolic equation with rapidly oscillating data: reconstruction of the small lowest order coefficient and the right-hand side from partial asymptotics of the solution. (English. Russian original) Zbl 1491.35464

Dokl. Math. 105, No. 1, 28-30 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 34-36 (2022).
MSC:  35R30 35C20 35L15
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On the homogenization of an optimal control problem in a domain perforated by holes of critical size and arbitrary shape. (English. Russian original) Zbl 1491.35019

Dokl. Math. 105, No. 1, 6-13 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 502, 11-18 (2022).
MSC:  35B27 35J25 35Q93
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Uniqueness of a probability solution to the Kolmogorov equation with a diffusion matrix satisfying Dini’s condition. (English. Russian original) Zbl 1486.35164

Dokl. Math. 104, No. 3, 322-325 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 501, 11-15 (2021).
MSC:  35J15 35J25 35A02
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Comparison theorems for elliptic inequalities with lower-order derivatives that take into account the geometry of the domain. (English. Russian original) Zbl 1485.35089

Dokl. Math. 104, No. 2, 250-253 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 35-39 (2021).
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Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary. (English. Russian original) Zbl 1477.35108

Dokl. Math. 104, No. 1, 205-207 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 54-57 (2021).
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On attractors of reaction-diffusion equations in a porous orthotropic medium. (English. Russian original) Zbl 1477.35035

Dokl. Math. 103, No. 3, 103-107 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 10-15 (2021).
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Increased integrability of the gradient of the solution to the Zaremba problem for the Poisson equation. (English. Russian original) Zbl 1479.35247

Dokl. Math. 103, No. 2, 69-71 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 497, 3-6 (2021).
MSC:  35J05 35J25 35B65
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Optimal control and “strange” term arising from homogenization of the Poisson equation in the perforated domain with the Robin-type boundary condition in the critical case. (English. Russian original) Zbl 1479.35252

Dokl. Math. 102, No. 3, 497-501 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 59-64 (2020).
MSC:  35J05 35J25 35B40
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The Kolmogorov problem on uniqueness of probability solutions of a parabolic equation. (English. Russian original) Zbl 1477.35001

Dokl. Math. 102, No. 3, 464-467 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 495, 22-25 (2020).
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Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries. (English. Russian original) Zbl 1477.35093

Dokl. Math. 102, No. 2, 357-359 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 5-8 (2020).
MSC:  35K51 35A01 35A02
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On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017

Dokl. Math. 102, No. 1, 283-287 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 26-31 (2020).
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Accuracy of MUSCL-type schemes in shock wave calculations. (English. Russian original) Zbl 1481.76153

Dokl. Math. 101, No. 3, 209-213 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 43-48 (2020).
MSC:  76M20 76M12 76L05
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Modeling of radiative heat conduction on high-performance computing systems. (English. Russian original) Zbl 1528.65042

Dokl. Math. 101, No. 2, 172-175 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 111-114 (2020).
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A time-dependent strange term arising in homogenization of an elliptic problem with rapidly alternating Neumann and dynamic boundary conditions specified at the domain boundary: the critical case. (English. Russian original) Zbl 1477.35020

Dokl. Math. 101, No. 2, 96-101 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 491, 23-28 (2020).
MSC:  35B27 35J25
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Stability of numerical methods for solving second-order hyperbolic equations with a small parameter. (English. Russian original) Zbl 1528.65063

Dokl. Math. 101, No. 1, 30-35 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 35-41 (2020).
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Stieltjes differential in impulse nonlinear problems. (English. Russian original) Zbl 1486.34070

Dokl. Math. 101, No. 1, 5-8 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 9-12 (2020).
MSC:  34B37 34A06
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On the Dirichlet problem for an elliptic functional differential equation with affine transformations of the argument. (English. Russian original) Zbl 1442.35103

Dokl. Math. 100, No. 3, 551-553 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 4, 347-350 (2019).
MSC:  35J25
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Approximate solution of the boundary value problem for the Helmholtz equation with impedance condition. (English. Russian original) Zbl 1436.35074

Dokl. Math. 100, No. 2, 436-439 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 488, No. 3, 233-236 (2019).
MSC:  35J05 35J25
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Homogenization limit for the diffusion equation in a domain perforated along \((n - 1)\)-dimensional manifold with dynamic conditions on the boundary of the perforations: critical case. (English. Russian original) Zbl 1428.35031

Dokl. Math. 99, No. 3, 245-251 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 486, No. 1, 12-19 (2019).
MSC:  35B27 35K20
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On classical solutions to the first mixed problem for the Vlasov-Poisson system in an infinite cylinder. (English. Russian original) Zbl 1422.35012

Dokl. Math. 99, No. 1, 87-90 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 6, 663-666 (2019).
MSC:  35J05 35J47
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Disproof of the zero-one law for existential monadic properties of a sparse binomial random graph. (English. Russian original) Zbl 1423.05153

Dokl. Math. 99, No. 1, 68-70 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 5, 519-522 (2019).
MSC:  05C80 05C42 03C13
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Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation. (English. Russian original) Zbl 1419.35134

Dokl. Math. 99, No. 1, 11-13 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 1, 18-20 (2019).
MSC:  35L20 35L05
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A disproof the Le Bars conjecture about the zero-one law for existential monadic second-order sentences. (English. Russian original) Zbl 1484.03072

Dokl. Math. 98, No. 3, 638-640 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 6, 600-602 (2018).
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The existence and behavior of global solutions to a mixed problem with acoustic transmission conditions for nonlinear hyperbolic equations with nonlinear dissipation. (English. Russian original) Zbl 1409.35136

Dokl. Math. 98, No. 3, 555-558 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 121-124 (2018).
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Everywhere differentiable functions without monotonicity intervals and transcendental numbers. (English. Russian original) Zbl 1415.26002

Dokl. Math. 97, No. 3, 219-222 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 480, No. 2, 137-140 (2018).
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On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification. (English. Russian original) Zbl 1391.35030

Dokl. Math. 97, No. 1, 99-103 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 3, 274-279 (2018).
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Partial decomposition of a domain containing thin tubes for solving the heat equation. (English. Russian original) Zbl 1516.35218

Dokl. Math. 97, No. 1, 69-72 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 478, No. 5, 509-512 (2018).
MSC:  35K20 35K05
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Projection of the Khokhlov-Zabolotskaya equation on the axis of wave beam as a model of nonlinear diffraction. (English) Zbl 1391.35257

Dokl. Math. 96, No. 3, 646-649 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 3, 286-290 (2017).
MSC:  35L10 76L05 76Q05
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Homogenization of the boundary value problem for the Laplace operator in a domain perforated along (\(n\) - 1)-dimensional manifold with nonlinear Robin type boundary condition on the boundary of arbitrary shaped holes: critical case. (English) Zbl 1391.35041

Dokl. Math. 96, No. 3, 601-606 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 5, 516-522 (2017).
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On boundary and initial values of solutions of a second-order parabolic equation that degenerate on the domain boundary. (English. Russian original) Zbl 1516.35249

Dokl. Math. 96, No. 3, 568-570 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 2, 150-152 (2017).
MSC:  35K65 35K20
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Dirichlet problem for parabolic systems with Dini continuous coefficients on the plane. (English. Russian original) Zbl 1516.35227

Dokl. Math. 96, No. 2, 423-426 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 476, No. 1, 7-10 (2017).
MSC:  35K51 35R05
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Homogenization of the boundary value problem for the Laplace operator in a perforated domain with a rapidly oscillating nonhomogeneous Robin-type condition on the boundary of holes in the critical case. (English. Russian original) Zbl 1375.35030

Dokl. Math. 96, No. 1, 344-347 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 475, No. 3, 247-250 (2016).
MSC:  35B27 35J25
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Modeling of acoustic pulse signal propagation in deep sea using the Maslov canonical operator. (English. Russian original) Zbl 1431.76113

Dokl. Math. 95, No. 2, 181-184 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 2, 142-145 (2017).
MSC:  76Q05 35L15
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Iterative approximate factorization for difference operators of high-order bicompact schemes for multidimensional nonhomogeneous hyperbolic systems. (English. Russian original) Zbl 1371.65079

Dokl. Math. 95, No. 2, 140-143 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 3, 7-11 (2017).
MSC:  65M06 65M12 35L72
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On the fundamental solution of the Fokker-Planck-Kolmogorov equation. (English. Russian original) Zbl 1372.35303

Dokl. Math. 95, No. 1, 55-59 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 472, No. 4, 383-387 (2017).
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Solvability conditions of a boundary value problem with operator coefficients and related estimates of the norms of intermediate derivative operators. (English. Russian original) Zbl 1361.35055

Dokl. Math. 94, No. 2, 566-568 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 511-513 (2016).
MSC:  35J25 47A50
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Uniqueness of a solution to the Cauchy problem for parabolic systems. (English. Russian original) Zbl 1351.35006

Dokl. Math. 93, No. 3, 316-317 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 6, 607-608 (2016).
MSC:  35A02 35K10
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Mixed problem for the inhomogeneous wave equation with a summable potential. (English. Russian original) Zbl 1353.35190

Dokl. Math. 93, No. 3, 313-315 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 5, 505-507 (2016).
MSC:  35L20 35C10
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Standard finite difference scheme for a singularly perturbed elliptic convection-diffusion equation on a rectangle under computer perturbations. (English. Russian original) Zbl 1344.65102

Dokl. Math. 93, No. 2, 179-182 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 467, No. 3, 271-274 (2016).
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Model oblique derivative problem for the heat equation in the Zygmund space \(H_1\). (English. Russian original) Zbl 1342.35133

Dokl. Math. 93, No. 1, 20-22 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 2, 141-143 (2016).
MSC:  35K20 35K10
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On the Hölder continuity of solutions of the Venttsel’ elliptic problem. (English. Russian original) Zbl 1341.35033

Dokl. Math. 92, No. 3, 747-751 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 5, 532-536 (2015).
MSC:  35J25 35B65 35R05
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Cauchy problem for a class of fourth-order semilinear pseudohyperbolic equations with structural damping. (English. Russian original) Zbl 1339.35194

Dokl. Math. 92, No. 3, 651-654 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 465, No. 1, 7-10 (2015).
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On boundary value problems for elliptic operators in the case of domains on manifolds. (English. Russian original) Zbl 1328.35034

Dokl. Math. 92, No. 1, 428-432 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 144-148 (2015).
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On the \(R_\nu\)-generalized solution of the Lamé system with corner singularity. (English. Russian original) Zbl 1328.35033

Dokl. Math. 92, No. 1, 421-423 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 463, No. 2, 137-139 (2015).
MSC:  35J25
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Three-level scheme for solving parabolic and elliptic equations. (English. Russian original) Zbl 1325.65145

Dokl. Math. 91, No. 3, 341-343 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 4, 404-407 (2015).
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Mixed problem for the wave equation with arbitrary two-point boundary conditions. (English. Russian original) Zbl 1327.35234

Dokl. Math. 91, No. 3, 294-296 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 2, 148-150 (2015).
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Standard scheme for a singularly perturbed parabolic convection-diffusion equation with computer perturbations. (English. Russian original) Zbl 1325.65126

Dokl. Math. 91, No. 3, 273-276 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 462, No. 1, 26-29 (2015).
MSC:  65M06 35K20 35B25
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On a homogenization method for differential operators with oscillating coefficients. (English. Russian original) Zbl 1326.35022

Dokl. Math. 91, No. 2, 227-231 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 5, 516-520 (2015).
MSC:  35B27 35L15
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Stabilization of the solution of the Cauchy problem for a parabolic equation with bounded coefficients multiplying the solution gradient. (English. Russian original) Zbl 1332.35139

Dokl. Math. 91, No. 1, 47-49 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 3, 266-268 (2015).
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The existence and nonexistence of global solutions of the Cauchy problem for Klein-Gordon systems. (English. Russian original) Zbl 1325.35117

Dokl. Math. 90, No. 3, 680-682 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 459, No. 2, 137-139 (2014).
MSC:  35L52 35L71 35B44
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The first boundary value problem for parabolic systems in plane domains with nonsmooth lateral boundaries. (English. Russian original) Zbl 1409.35100

Dokl. Math. 90, No. 2, 573-575 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 4, 379-381 (2014).
MSC:  35K51 35A01
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On the existence and uniqueness of an \(R_\nu\)-generalized solution of a boundary value problem with uncoordinated degeneration of the input data. (English. Russian original) Zbl 1308.35059

Dokl. Math. 90, No. 2, 562-564 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 458, No. 3, 261-263 (2014).
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An inverse boundary value problem for a second-order hyperbolic equation with nonclassical boundary conditions. (English. Russian original) Zbl 1515.35333

Dokl. Math. 90, No. 1, 513-517 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 4, 398-402 (2014).
MSC:  35R30 35L20
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Dynamics of a second-order nonlinear equation with a large coefficient of delay control. (English. Russian original) Zbl 1312.34113

Dokl. Math. 90, No. 1, 503-506 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 6, 635-638 (2014).
MSC:  34K26 34K33 34K35
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A criterion for the elementary equivalence of endomorphism rings and automorphism groups of Abelian \(p\)-groups. (English. Russian original) Zbl 1306.20038

Dokl. Math. 90, No. 1, 399-400 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 457, No. 1, 11-12 (2014).
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Variable separation method in solving multidimensional mixed problems with separable variables. (English. Russian original) Zbl 1304.35206

Dokl. Math. 89, No. 3, 263-266 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 456, No. 1, 7-10 (2014).
MSC:  35C10 35P05 35L20
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Direct and inverse problems for nonlinear one-dimensional poroelasticity equations. (English. Russian original) Zbl 1303.35071

Dokl. Math. 89, No. 2, 250-252 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 6, 640-642 (2014).
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Analytic solution to the problem of the Gaussian beam propagation through nonuniform gas. (English. Russian original) Zbl 1301.35169

Dokl. Math. 89, No. 2, 242-244 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 4, 398-400 (2014).
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Computational determination of the lowest order coefficient in a parabolic equation. (English. Russian original) Zbl 1301.65103

Dokl. Math. 89, No. 2, 179-181 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 455, No. 3, 258-259 (2014).
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On a counterexample of inverse parabolic problems with final overdetermination. (English. Russian original) Zbl 1301.35211

Dokl. Math. 88, No. 3, 714-716 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 5, 479-481 (2013).
MSC:  35R30 35K10
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Complex eigenvalues of elliptic operators and an example of inverse problem with nonunique solution. (English. Russian original) Zbl 1301.47029

Dokl. Math. 88, No. 3, 651-654 (2013); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 453, No. 2, 138-141 (2013).
MSC:  47B06 35J25
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Necessary and sufficient condition for the stabilization of the solution to the initial-boundary value problem for second-order nondivergence parabolic equations. (English. Russian original) Zbl 1277.35050

Dokl. Math. 88, No. 1, 381-384 (2013); translation from Dokl. Akad. Nauk, 451, No. 1, 7-10 (2013).
MSC:  35B40 35K20 35K08
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