Results 11 to 20 of about 712 (65)
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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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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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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On the solutions of nonlinear initial‐boundary value problems
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 407-424, 2004., 2004 We deal with the general initial‐boundary value problem for a second‐order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operatortheory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given ...
Vladimír Ďurikovič +1 more
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Open Mathematics, 2016 We obtain the global weighted Morrey-type regularity of the solution of the regular oblique derivative problem for linear uniformly parabolic operators with VMO coefficients.
Guliyev Vagif S., Omarova Mehriban N.
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Asymptotic solutions of diffusion models for risk reserves
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 35, Page 2221-2239, 2003., 2003 We study a family of diffusion models for risk reserves which account for the investment income earned and for the inflation experienced on claim amounts. After we defined the process of the conditional probability of ruin over finite time and imposed the appropriate boundary conditions, classical results from the theory of diffusion processes turn the
S. Shao
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Abstract and Applied Analysis, Volume 2003, Issue 10, Page 573-589, 2003., 2003 This paper deals with weak solution in weighted Sobolev spaces, of three‐point boundary value problems which combine Dirichlet and integral conditions, for linear and quasilinear parabolic equations in a domain with curved lateral boundaries. We, firstly, prove the existence, uniqueness, and continuous dependence of the solution for the linear equation.
Abdelfatah Bouziani
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On prescribed change of profile for solutions of parabolic equations [PDF]
, 2011 Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition.
Beck J V +8 more
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