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Found 183 Documents (Results 1–100)

Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions. (English. Russian original) Zbl 07800790

J. Math. Sci., New York 277, No. 6, 841-958 (2023); translation from Sovrem. Mat., Fundam. Napravl. 67, No. 1, 14-129 (2021).
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Fundamental solutions for degenerate parabolic equations: existence, properties, and some applications. (English. Ukrainian original) Zbl 07798199

J. Math. Sci., New York 277, No. 1, 1-32 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 5-30 (2021).
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Multipoint boundary-value problem of optimal control for parabolic equations with degeneration. (English. Ukrainian original) Zbl 1520.49012

J. Math. Sci., New York 273, No. 6, 901-923 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 4, 17-33 (2020).
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Internal and startup controls of the solutions of boundary-value problem for parabolic equations with degenerations. (English. Ukrainian original) Zbl 1514.35259

J. Math. Sci., New York 272, No. 1, 14-28 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 2, 17-28 (2020).
MSC:  35K20 35Q93
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Analysis of the existence of special solutions to the capillarity problem. (English. Russian original) Zbl 1505.35199

J. Math. Sci., New York 267, No. 6, 781-786 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 172, 113-118 (2019).
MSC:  35J62 35R01
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Strongly elliptic differential-difference equations with mixed boundary conditions in a cylindric domain. (English. Russian original) Zbl 1500.35129

J. Math. Sci., New York 265, No. 5, 803-822 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 635-654 (2019).
MSC:  35J25 47E07 35A02
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Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions. (English. Russian original) Zbl 1503.35091

J. Math. Sci., New York 264, No. 5, 525-551 (2022); translation from Probl. Mat. Anal. 116, 35-58 (2022).
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Some free boundary problems arising in rock mechanics. (English. Russian original) Zbl 1504.35539

J. Math. Sci., New York 260, No. 4, 492-523 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 98-130 (2018).
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Boundary-value problems for Sobolev-type equations with irreversible operator coefficient of the highest derivatives. (English. Russian original) Zbl 1491.35295

J. Math. Sci., New York 260, No. 3, 307-314 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 167, 34-41 (2019).
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Parabolic boundary-value problems in a piecewise homogeneous wedge-shaped cylindrically circular space. (English. Russian original) Zbl 1486.35246

J. Math. Sci., New York 261, No. 2, 241-252 (2022); translation from Neliniĭni Kolyvannya 23, No. 3, 332-342 (2020).
MSC:  35K20 35A22
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Gårding cones and Bellman equations in the theory of Hessian operators and equations. (English. Russian original) Zbl 1481.35190

J. Math. Sci., New York 259, No. 6, 833-844 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 4, 615-626 (2017).
MSC:  35J60 15B48
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On one limit theorem related to the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator of order \(\alpha \in \bigcup_{m=3}^{\infty}\left(m-1,m\right)\). (English. Russian original) Zbl 1477.35302

J. Math. Sci., New York 258, No. 6, 912-919 (2021); translation from Zap. Nauchn. Semin. POMI 486, 254-264 (2019).
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Limit theorems on convergence to generalized Cauchy type processes. (English. Russian original) Zbl 1477.35326

J. Math. Sci., New York 258, No. 6, 883-893 (2021); translation from Zap. Nauchn. Semin. POMI 486, 214-228 (2019).
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On the continuity of solutions of the equations of a porous medium and the fast diffusion with weighted and singular lower-order terms. (English. Ukrainian original) Zbl 1470.35201

J. Math. Sci., New York 256, No. 6, 803-830 (2021); translation from Ukr. Mat. Visn. 18, No. 1, 104-139 (2021).
MSC:  35K59 35B65
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Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient. (English. Russian original) Zbl 1465.35085

J. Math. Sci., New York 255, No. 4, 388-408 (2021); translation from Probl. Mat. Anal. 108, 35-52 (2021).
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On the Hilbert boundary-value problem for Beltrami equations with singularities. (English. Ukrainian original) Zbl 1462.30088

J. Math. Sci., New York 254, No. 3, 357-374 (2021); translation from Ukr. Mat. Visn. 17, No. 4, 484-508 (2020).
MSC:  30G20 30E25
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Boundary-value problems for singular \(p\)- and \(p(x)\)- Laplacian equations in a domain with conical point on the boundary. (English. Russian original) Zbl 1465.35256

J. Math. Sci., New York 254, No. 3, 335-356 (2021); translation from Ukr. Mat. Visn. 17, No. 4, 455-483 (2020).
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Uniqueness of a solution in a Hölder class to the first initial boundary value problem for a parabolic system in a bounded nonsmooth domain in the plane. (English. Russian original) Zbl 1453.35111

J. Math. Sci., New York 251, No. 5, 557-572 (2020); translation from Probl. Mat. Anal. 106, 3-15 (2020).
MSC:  35K51 35A02
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Probabilistic approach to solving the Cauchy problem for the Schrödinger equation with fractional differential operator of order \(\alpha \in \underset{m=3}{\overset{\infty }{\bigcup }}(m-1,m)\). (English. Russian original) Zbl 1450.35230

J. Math. Sci., New York 251, No. 1, 131-140 (2020); translation from Zap. Nauchn. Semin. POMI 474, 199-212 (2018).
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Probabilistic representations for solutions to initial boundary value problems for non-stationary Schrödinger equation in \(d\)-hyperball. (English. Russian original) Zbl 1468.60079

J. Math. Sci., New York 251, No. 1, 96-110 (2020); translation from Zap. Nauchn. Semin. POMI 474, 149-170 (2018).
MSC:  60H15 60F05 60G50
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Boundary-value problems for ultraparabolic and quasi-ultraparabolic equations with alternating direction of evolution. (English. Russian original) Zbl 1450.35150

J. Math. Sci., New York 250, No. 5, 772-779 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 149, 56-63 (2018).
MSC:  35K70 35K20 35M13
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Large-time asymptotics of fundamental solutions for diffusion equations in periodic media and its application to averaging-theory estimates. (English. Russian original) Zbl 1448.35028

J. Math. Sci., New York 250, No. 4, 569-592 (2020); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 2, 223-246 (2017).
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Pointwise estimates of solutions to the weighted porous medium equation and the fast diffusion one via weighted Riesz potentials. (English. Ukrainian original) Zbl 1448.35059

J. Math. Sci., New York 248, No. 2, 233-254 (2020); translation from Ukr. Mat. Visn. 17, No. 1, 116-144 (2020).
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Hölder continuity of solutions to an elliptic equation with drift degenerating in a part of the domain. (English. Russian original) Zbl 1448.35064

J. Math. Sci., New York 247, No. 6, 759-768 (2020); translation from Probl. Mat. Anal. 102, 3-11 (2020).
MSC:  35B65 35J15 35B25
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\( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural’tseva and their application to elliptic and parabolic equations with nonstandard growth. (English. Ukrainian original) Zbl 1448.35068

J. Math. Sci., New York 246, No. 1, 75-109 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 403-447 (2019).
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Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions. (English. Russian original) Zbl 1448.35574

J. Math. Sci., New York 250, No. 2, 322-336 (2020); translation from Probl. Mat. Anal. 105, 121-133 (2020).
MSC:  35R30 35K20 35K65
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Singular integral operators and elliptic boundary-value problems. I. (English. Russian original) Zbl 1448.42001

J. Math. Sci., New York 245, No. 6, 695-891 (2020); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 1, 1-189 (2017).
MSC:  42-02 42B25 30E25
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A probabilistic approximation of the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator. (English. Russian original) Zbl 1459.60008

J. Math. Sci., New York 244, No. 5, 874-884 (2020); translation from Zap. Nauchn. Semin. POMI 466, 257-272 (2017).
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A probabilistic approximation of the evolution operator \(\operatorname{exp}(t(S\nabla,\nabla))\) with a complex matrix \(S\). (English. Russian original) Zbl 1448.35280

J. Math. Sci., New York 244, No. 5, 789-795 (2020); translation from Zap. Nauchn. Semin. POMI 466, 134-144 (2017).
MSC:  35K15 47D06
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Elliptic operators in multidimensional cylinders with frequently alternating boundary conditions along a given curve. (English. Russian original) Zbl 1437.35032

J. Math. Sci., New York 244, No. 3, 378-389 (2020); translation from Probl. Mat. Anal. 100, 21-30 (2019).
MSC:  35B27 35J25 35B45
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Estimates for the first eigenvalue of the Sturm-Liouville problem with potentials in weighted spaces. (English. Russian original) Zbl 1437.34034

J. Math. Sci., New York 244, No. 2, 216-234 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 162-190 (2019).
MSC:  34B24 34L15 34B16
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Controllability and exact controllability in a problem of heat transfer with convection and time distributed functional. (English. Russian original) Zbl 1436.93017

J. Math. Sci., New York 244, No. 2, 148-157 (2020); translation from Tr. Semin. Im. I. G. Petrovskogo 32, 57-71 (2019).
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Nonlocal multipoint (in time) problem for parabolic equations with degeneration. (English. Russian original) Zbl 1439.35211

J. Math. Sci., New York 243, No. 1, 34-44 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 32-40 (2017).
MSC:  35K20 35K65 35K67
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Local subestimates of solutions to double-phase parabolic equations via nonlinear parabolic potentials. (English. Ukrainian original) Zbl 1429.35137

J. Math. Sci., New York 242, No. 6, 772-786 (2019); translation from Ukr. Mat. Visn. 16, No. 1, 28-45 (2019).
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Estimates of the distance to exact solutions of the Stokes problem with slip and leak boundary conditions. (English. Russian original) Zbl 1434.35061

J. Math. Sci., New York 242, No. 2, 280-298 (2019); translation from Probl. Mat. Anal. 99, 89-104 (2019).
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Estimates of initial scales for layers with small random negative-definite perturbations. (English. Russian original) Zbl 1440.60058

J. Math. Sci., New York 241, No. 5, 518-548 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 141, 13-41 (2017).
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Nonstationary problem of complex heat transfer in a system of semitransparent bodies with boundary-value conditions of diffuse reflection and refraction of radiation. (English. Russian original) Zbl 1462.35391

J. Math. Sci., New York 233, No. 6, 777-806 (2018); translation from Sovrem. Mat., Fundam. Napravl. 59, 5-34 (2016).
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Maximum principle for nonlinear parabolic equations. (English. Russian original) Zbl 1406.35076

J. Math. Sci., New York 234, No. 4, 423-439 (2018); translation from Tr. Semin. Im. I. G. Petrovskogo 31, 63-86 (2016).
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\(C^{1+\alpha}\)-regularity of viscosity solutions of general nonlinear parabolic equations. (English. Russian original) Zbl 1402.35061

J. Math. Sci., New York 232, No. 4, 403-427 (2018); translation from Probl. Mat. Anal. 93, 3-22 (2018).
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Regularity of solutions to quasilinear parabolic systems with time-nonsmooth principal matrix and the Neumann boundary condition. (English. Russian original) Zbl 1400.35048

J. Math. Sci., New York 232, No. 3, 232-253 (2018); translation from Probl. Mat. Anal. 92, No. 3, 27-44 (2018).
MSC:  35B65 35K51 35K59
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On a limit theorem related to probabilistic representation of solution to the Cauchy problem for the Schrödinger equation. (English. Russian original) Zbl 1386.60087

J. Math. Sci., New York 229, No. 6, 702-713 (2018); translation from Zap. Nauchn. Semin. POMI 454, 158-175 (2017).
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Existence and uniqueness of the solution to the Cauchy problem for the stochastic reaction-diffusion differential equation of neutral type. (English. Ukrainian original) Zbl 1387.60103

J. Math. Sci., New York 226, No. 3, 307-334 (2017); translation from Neliniĭni Kolyvannya 19, No. 3, 408-430 (2016).
MSC:  60H15 35K57 35R60
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Estimates for the derivative of parabolic simple layer potential in the Dini space. (English. Russian original) Zbl 1377.35126

J. Math. Sci., New York 219, No. 6, 973-993 (2016); translation from Probl. Mat. Anal. 87, 135-152 (2016).
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Averaging of parabolic initial-boundary value problems with rapidly oscillating principal part. (English. Russian original) Zbl 1382.35021

J. Math. Sci., New York 219, No. 1, 27-34 (2016); translation from Probl. Mat. Anal. 85, 29-35 (2016).
MSC:  35B27 35K20 35K59
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Error estimates of homogenization in the Neumann boundary problem for an elliptic equation with multiscale coefficients. (English. Russian original) Zbl 1382.35027

J. Math. Sci., New York 216, No. 2, 325-344 (2016); translation from Probl. Mat. Anal. 84, 161-177 (2016).
MSC:  35B27 35J25
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Regularity of electromagnetic fields in convex domains. (English. Russian original) Zbl 1360.35265

J. Math. Sci., New York 210, No. 6, 793-813 (2015); translation from Zap. Nauchn. Semin. POMI 425, 55-85 (2014).
MSC:  35Q60 35B65 78A02
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Estimates of the distance to the exact solution of parabolic problems based on local Poincaré type inequalities. (English. Russian original) Zbl 1331.35186

J. Math. Sci., New York 210, No. 6, 759-778 (2015); translation from Zap. Nauchn. Semin. POMI 425, 7-34 (2014).
MSC:  35K57 35B65
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Stability of solutions to generalized Forchheimer equations of any degree. (English. Russian original) Zbl 1341.35117

J. Math. Sci., New York 210, No. 4, 476-544 (2015); translation from Probl. Mat. Anal. 81, 121-178 (2015).
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On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations. (English. Russian original) Zbl 1333.35047

J. Math. Sci., New York 210, No. 1, 86-113 (2015); translation from Ukr. Mat. Visn. 12, No. 1, 110-147 (2015).
MSC:  35J40 35J62 35H99
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Oriented degree of Fredholm maps: finite-dimensional reduction method. (English. Russian original) Zbl 1384.47007

J. Math. Sci., New York 204, No. 5, 543-714 (2015); translation from Sovrem. Mat., Fundam. Napravl. 44, 3-171 (2012).
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Existence and uniqueness of a solution of the problem with free boundary in the theory of filtration consolidation of soils with regard for the influence of technogenic factors. (English. Ukrainian original) Zbl 1330.35337

J. Math. Sci., New York 207, No. 1, 59-73 (2015); translation from Ukr. Mat. Visn. 11, No. 4, 524-542 (2014).
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The boundary-value problems for parabolic equations with a nonlocal condition and degenerations. (English. Ukrainian original) Zbl 1327.35139

J. Math. Sci., New York 207, No. 1, 26-38 (2015); translation from Ukr. Mat. Visn. 11, No. 4, 480-496 (2014).
MSC:  35K20 35K65
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The conjugation problem for some nonclassical high-order differential equations. (English. Ukrainian original) Zbl 1329.35115

J. Math. Sci., New York 204, No. 3, 298-314 (2015); translation from Ukr. Mat. Visn. 11, No. 2, 181-202 (2014).
MSC:  35G16 35A01 35A02
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