Results 11 to 20 of about 819 (86)
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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Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in RN (N≥3)
Boundary Value Problems, 2014 This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in RN for N≥3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the ...
G. Tang, Yuanfei Li, Xitao Yang
semanticscholar +2 more sources
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
semanticscholar +1 more source
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
core +2 more sources
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
wiley +1 more source
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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A probabilistic solution to the Stroock-Williams equation [PDF]
, 2014 We consider the initial boundary value problem \begin{eqnarray*}u_t=\mu u_x+\tfrac{1}{2}u_{xx}\qquad (t>0,x\ge0),\\u(0,x)=f(x)\qquad (x\ge0),\\u_t(t,0)=\nu u_x(t,0)\qquad (t>0)\end{eqnarray*} of Stroock and Williams [Comm. Pure Appl. Math. 58 (2005) 1116-
Peskir, Goran
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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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