Results 11 to 20 of about 804 (84)
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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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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Regular solutions for Landau-Lifschitz equation in a bounded domain
Differential and Integral Equations, 2001 Domain. Gilles Carbou, Pierre Fabrie Mathématiques Appliquées de Bordeaux, Université Bordeaux 1, 351 cours de la Libération, 33405 Talence cedex, France.
G. Carbou, P. Fabrie
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Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains
, 2020 In this paper, a nonlinear parabolic variational inequality in noncylindrical domain is considered. Using extended Rothe’s method recently achieved in [11] an approximate solution is constructed. Existence and uniqueness results are proved.
G. Kulieva, K. Kuliev
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Advances in Nonlinear Analysis, 2020 In this paper, we study the fractional p-Laplacian evolution equation with arbitrary initial energy,
Liao Menglan, Liu Qiang, Ye Hailong
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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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Free boundary problems in controlled release pharmaceuticals. I: diffusion in glassy polymers [PDF]
, 1988 This paper formulates and studies two different problems occurring in the formation and use of pharmaceuticals via controlled release methods. These problems involve a glassy polymer and a penetrant, and the central problem is to predict and control the ...
Cohen, Donald S., Erneux, Thomas
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On the relativistic heat equation in one space dimension
Proceedings of the London Mathematical Society, Volume 107, Issue 6, Page 1395-1423, December 2013., 2013 We study the relativistic heat equation in one space dimension. We prove a local regularity result when the initial datum is locally Lipschitz in its support. We propose a numerical scheme that captures the known features of the solutions and allows for analysing further properties of their qualitative behaviour.
J. A. Carrillo, V. Caselles, S. Moll
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Alexandria Engineering Journal, 2020 In this paper, a singularly perturbed Volterra integro-differential equation, characterised by a single layer, is investigated. A numerical technique which uses a non-standard finite difference scheme is implemented to solve the differential part ...
Nana Adjoah Mbroh +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 14, Page 721-739, 2004., 2004 We study a family of diffusion models for compounded risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. We are interested in the models in which the dividend payments are paid from the risk reserves.
S. Shao, C. L. Chang
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