On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
Mathematics in Engineering, 2021 The Kuramoto-Sinelshchikov equation describes the evolution of a phase turbulence in reaction-diffusion systems or the evolution of the plane flame propagation, taking in account the combined influence of diffusion and thermal conduction of the gas on ...
Giuseppe Maria Coclite, Lorenzo di Ruvo
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Strongly nonlinear parabolic initial-boundary value problems [PDF]
Proceedings of the National Academy of Sciences, 1979 An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2 m with a strongly nonlinear zeroth-order perturbation.
Haı̈m Brezis, Felix E. Browder
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A Fitted Scheme for a Caputo Initial-Boundary Value Problem [PDF]
Journal of Scientific Computing, 2018 In this paper we consider an initial-boundary value problem with a Caputo time derivative of order α∈(0,1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
J. Gracia, E. O'Riordan, M. Stynes
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On an initial-boundary value problem for the nonlinear Schrödinger equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1979 We study an initial-boundary value problem for the nonlinear Schrödinger equation, a simple mathematical model for the interaction between electromagnetic waves and a plasma layer.
Herbert Gajewski
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The initial boundary value problem and quasi-local Hamiltonians in general relativity [PDF]
Classical and quantum gravity, 2021 We discuss relations between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in GR. The latter have traditionally been based on Dirichlet boundary conditions, which however are shown here to be ill-posed for the IBVP.
Z. An, Michael T. Anderson
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Global solution for an initial boundary value problem of a quasilinear hyperbolic system [PDF]
, 1968 Takaaki Nishida
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Asymptotic estimations of the solution for a singularly perturbed equation with unbounded boundary conditions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper studies a two-point boundary value problem with unbounded boundary conditions for a linear singularly perturbed differential equation. Asymptotic estimates are given for a linearly independent system of solutions of a homogeneous perturbed ...
N. Atakhan +2 more
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Initial-boundary Value Problem for a Time-fractional Subdiffusion Equation with an Arbitrary Elliptic Differential Operator [PDF]
Lobachevskii Journal of Mathematics, 2020 An initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary order elliptic differential operator is considered.
R. Ashurov, O. Muhiddinova
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Duhamel-type integral for the initial boundary value problem
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The paper considers the initial boundary value problem for the wave equation for the case of three spatial variables. The definition of a generalized solution is introduced and the existence and uniqueness theorem is proved.
Anikonov Dmitry, Konovalova Dina
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On the solutions of nonlinear initial‐boundary value problems [PDF]
Abstract and Applied Analysis, 2004 We deal with the general initial‐boundary value problem for a second‐order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operatortheory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given ...
Ďurikovič, Vladimír +1 more
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