Results 11 to 20 of about 234,656 (222)
On nonexistence of Baras-Goldstein type for higher-order parabolic equations with singular potentials [PDF]
, 2009 The celebrated result by Baras and Goldstein (1984) established that the heat equation with singular inverse square potential in a smooth bounded domain Ω ⊂ ℝ N , N > 3, such that 0 E Ω, u t =Δu + c/|x| 2 u in Ω × (0, T), u| ∂Ω = 0, in the supercritical ...
V. Galaktionov, I. Kamotski
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Higher order linear parabolic equations [PDF]
, 2012 We first highlight the main differences between second order and higher order linear parabolic equations. Then we survey existing results for the latter, in particular by analyzing the behavior of the convolution kernels. We illustrate the updated state of art and we suggest several open problems.
G. Barbatis, GAZZOLA, FILIPPO
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Alexandria Engineering Journal, 2023 Parabolic equations play an important role in chemical engineering, vibration theory, particle diffusion and heat conduction. Solutions of such equations are required to analyze and predict changes in physical systems. Solutions of such equations require
Mubashir Qayyum +4 more
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Unique Continuation for Parabolic Equations of Higher Order [PDF]
Nagoya Mathematical Journal, 1966 Let x = (xl,…xn) be a point in the n-dimensional Euclidean space and let be the unit sphere In the (n + 1)-dimensional Euclidean space with coordinate (x, t), we putandwhere denotes the boundary of . We also use the following notation:
Chen, Lu-san, Kuroda, Tadashi
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Современная математика: Фундаментальные направления, 2023 In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
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Explicit Blowing Up Solutions for a Higher Order Parabolic Equation with Hessian Nonlinearity [PDF]
Journal of Dynamics and Differential Equations, 2021 In this work we consider a nonlinear parabolic higher order partial differential equation that has been proposed as a model for epitaxial growth. This equation possesses both global-in-time solutions and solutions that blow up in finite time, for which ...
C. Escudero
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Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary [PDF]
Компьютерные исследования и моделирование, 2013 In the current paper, we study a Galerkin-Petrov method for a parabolic equations of higher order in domain with a moving boundary. Asymptotic estimates for the convergence rate of approximate solutions are obtained.
Polina Vitalievna Vinogradova +2 more
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Partial Differential Equations in Applied Mathematics, 2023 In this paper, we focus on solving semilinear parabolic differential equations in low and high-dimensional spaces by using backward stochastic differential equations and deep neural networks (the BSDE solver introduced by Han et al. in 2017).
Shawn Koohy +2 more
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On Oscillations in a Gene Network with Diffusion
Mathematics, 2023 We consider one system of partial derivative equations of the parabolic type as a model of a simple 3D gene network in the presence of diffusion of its three components.
Vladimir Golubyatnikov +2 more
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On the numerical solution of higher order nonlinear parabolic equations [PDF]
Computing, 1968 This paper deals with the numerical approximation of weak solutions of the first initial, boundary value problem for the higher order, nonlinear parabolic equation $$\sum\limits_{|\alpha | , |\beta | \leqq p} {D^\alpha (a_{\alpha \beta } (x,t)) \leqq D^\beta u - \partial u/
Eugene L. Allgower, Ronald Guenther
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