Results 31 to 40 of about 235,569 (171)
Stability of Stochastic Partial Differential Equations
Axioms, 2023 In this paper, we study the stability of the stochastic parabolic differential equation with dependent coefficients. We consider the stability of an abstract Cauchy problem for the solution of certain stochastic parabolic differential equations in a ...
Allaberen Ashyralyev, Ülker Okur
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Error Estimates for Solutions of the Semilinear Parabolic Equation in Whole Space
Abstract and Applied Analysis, 2014 This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial data u0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution ...
Xiaomei Hu
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Stability of the determination of a time-dependent coefficient in parabolic equations
, 2012 We establish a Lipschitz stability estimate for the inverse problem consisting in the determination of the coefficient $\sigma(t)$, appearing in a Dirichlet initial-boundary value problem for the parabolic equation $\partial_tu-\Delta_x u+\sigma(t)f(x)u ...
Choulli, Mourad, Kian, Yavar
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Karpatsʹkì Matematičnì Publìkacìï, 2013 We consider the question of existence in Holder class of a solution of an initial-boundary problem for linear parabolic second-degree equation with discontinuous coefficients with a boundary condition and a conjugation condition which are defined by ...
B. I. Kopytko +2 more
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Axioms, 2022 This paper implements the trial equation approach to retrieve cubic–quartic optical solitons in fiber Bragg gratings with the aid of the trial equation methodology. Five forms of nonlinear refractive index structures are considered. They are the Kerr law,
Ming-Yue Wang +5 more
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Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow
, 2019 In this paper, we consider a manifold evolving by a general geometric flow and study parabolic equation \[ (\Delta -q(x,t)-\partial_t)u(x,t)=A(u(x,t)),\quad (x,t)\in M\times [0,T].
Zhao, Guangwen
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Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes
Abstract and Applied Analysis, 2013 A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes.
Abdon Atangana, Dumitru Baleanu
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Global Calder\`on & Zygmund theory for nonlinear parabolic systems
, 2013 We establish a global Calder\'on & Zygmund theory for solutions of a huge class of nonlinear parabolic systems whose model is the inhomogeneous parabolic $p$-Laplacian system \begin{equation*} \left\{\begin{array}{cc} \partial_t u - \Div (|Du|^{p-2}Du) =
Bögelein, Verena
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Symmetry of Ancient Solution for Fractional Parabolic Equation Involving Logarithmic Laplacian
Fractal and Fractional, 2023 In this research, we focus on the symmetry of an ancient solution for a fractional parabolic equation involving logarithmic Laplacian in an entire space. In the process of studying the property of a fractional parabolic equation, we obtained some maximum
Wei Zhang, Yong He, Zerong Yang
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Mixed problems for degenerate abstract parabolic equations and applications [PDF]
, 2017 Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed $L_{p ...
Sahmurova, Aida, Shakhmurov, Veli
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