Results 1 to 10 of about 712 (65)
On Cauchy problem for fractional parabolic-elliptic Keller-Segel model
Advances in Nonlinear Analysis, 2022 In this paper, we concern about a modified version of the Keller-Segel model. The Keller-Segel is a system of partial differential equations used for modeling Chemotaxis in which chemical substances impact the movement of mobile species.
Nguyen Anh Tuan +2 more
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Global well posedness for the semilinear edge-degenerate parabolic equations on singular manifolds
Advances in Nonlinear Analysis, 2023 In this article, we study the long-time dynamical behavior of the solution for a class of semilinear edge-degenerate parabolic equations on manifolds with edge singularities. By introducing a family of potential well and compactness method, we reveal the
Chen Yuxuan
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On the extinction problem for a p-Laplacian equation with a nonlinear gradient source
Open Mathematics, 2021 We deal with the extinction properties of the weak solutions for a p-Laplacian equation with a gradient nonlinearity. The critical extinction exponent is specified and the decay estimates of the extinction solutions are given.
Liu Dengming, Yu Miaojun
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Sign changing solutions of Poisson's equation
Proceedings of the London Mathematical Society, Volume 121, Issue 3, Page 513-536, September 2020., 2020 Abstract Let Ω be an open, possibly unbounded, set in Euclidean space Rm with boundary ∂Ω, let A be a measurable subset of Ω with measure |A| and let γ∈(0,1). We investigate whether the solution vΩ,A,γ of −Δv=γ1Ω∖A−(1−γ)1A with v=0 on ∂Ω changes sign. Bounds are obtained for |A| in terms of geometric characteristics of Ω (bottom of the spectrum of the ...
M. van den Berg, D. Bucur
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Moroccan Journal of Pure and Applied Analysis, 2020 The present paper is devoted to the numerical approximation for the diffusion equation subject to non-local boundary conditions. For the space discretization, we apply the Legendre-Chebyshev pseudospectral method, so that, the problem under consideration
Chattouh Abdeldjalil, Saoudi Khaled
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Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
Advances in Nonlinear Analysis, 2020 In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an ...
Wang Xingchang, Xu Runzhang
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Data smoothing with applications to edge detection
Open Mathematics, 2022 The aim of this paper is to present a new stable method for smoothing and differentiating noisy data defined on a bounded domain Ω⊂RN\Omega \subset {{\mathbb{R}}}^{N} with N≥1N\ge 1.
Al-Jamal Mohammad F. +2 more
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Parabolic equations with the second order Cauchy conditions on the boundary [PDF]
, 2007 The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with homogenuous Cauchy condition at initial time and with the second order Cauchy condition on the boundary of the semi-plane.
Duren P, Nikolai Dokuchaev, Tikhonov A N
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Regularity of a inverse problem for generic parabolic equations [PDF]
, 2007 The paper studies some inverse boundary value problem for simplest parabolic equations such that the homogenuous Cauchy condition is ill posed at initial time.
Beck J V +7 more
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A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
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