Results 1 to 10 of about 235,549 (151)
Quasilinear Parabolic Equations Associated with Semilinear Parabolic Equations
Mathematics, 2023 We formulate a quasilinear parabolic equation describing the behavior of the global-in-time solution to a semilinear parabolic equation. We study this equation in accordance with the blow-up and quenching patterns of the solution to the original ...
Katsuyuki Ishii +2 more
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Parabolic Equation Modeling of Electromagnetic Wave Propagation over Rough Sea Surfaces [PDF]
Sensors, 2019 The parabolic equation is an efficient numerical solution for electromagnetic wave propagation. In order to address the difficulties in predicting electromagnetic wave propagation in the maritime environment caused by atmospheric dust and rough sea ...
Ying Gao +4 more
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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2023 The nonlocal boundary value problem for a Schrödinger-parabolic equation with multipoint nonlocal boundary conditions is examined. Stability estimates for the solution of this problem are established.
Yıldırım Özdemir
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Well-posedness of boundary value problems for reverse parabolic equation with integral condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2018 Reverse parabolic equation with integral condition is considered. Well-posedness of reverse parabolic problem in the Hölder space is proved. Coercive stability estimates for solution of three boundary value problems (BVPs) to reverse parabolic equation ...
Charyyar Ashyralyyev
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Parabolic Hessian Equations Outside a Cylinder
Mathematics, 2022 In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron ...
Limei Dai, Xuewen Guo
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An Iterative High-Accuracy ADI Method for the 3D Parabolic Equation
International Journal of Antennas and Propagation, 2023 The alternating direction implicit parabolic equation (ADI-PE) method and the Crank–Nicolson parabolic equation (CN-PE) method have been widely used for solving the 3D parabolic equation (3D-PE) in radio wave propagation.
Xiaoping Wu +3 more
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Existence of Positive Solutions and Asymptotic Behavior for Evolutionary q(x)-Laplacian Equations
Discrete Dynamics in Nature and Society, 2020 In this paper, we extend the variational method of M. Agueh to a large class of parabolic equations involving q(x)-Laplacian parabolic equation ∂ρt,x/∂t=divxρt,x∇xG′ρ+Vqx−2∇xG′ρ+V.
Aboubacar Marcos, Ambroise Soglo
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A note on the parabolic identification problem with involution and Dirichlet condition
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A space source of identification problem for parabolic equation with involution and Dirichlet condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan, A. Sarsenbi
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Proceedings of the National Academy of Sciences, 1957 Beweis zweier Sätze, die gestatten, auf die Stetigkeit der Lösungen parabolischer (elliptischer) Differentialgleichungen zu schließen, wenn die Lösung für \(t=0\) (auf dem Rande) beschränkt sein soll.
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On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V. +1 more
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