Results 11 to 20 of about 134 (84)
Regularization for a nonlinear backward parabolic problem with continuous spectrum operator [PDF]
, 2013 We study the backward parabolic problem for a nonlinear parabolic equation of the form ut CAu.t/D f .t;u.t//;u.T /D ', where A is a positive self-adjoint unbounded operator and f is a Lipschitz function. The problem is ill-posed, in the sense that if the
N. Tuan, N. D. Nhat, D. D. Trong
semanticscholar +3 more sources
Phase-field approaches to structural topology optimization [PDF]
, 2010 The mean compliance minimization in structural topology optimization is solved with the help of a phase field approach. Two steepest descent approaches based on L2- and H-1 gradient flow dynamics are discussed. The resulting flows are given by Allen-Cahn
Blank, Luise +5 more
core +1 more source
Maximum Principle and Its Application for the Time-Fractional Diffusion Equations [PDF]
, 2011 MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryIn the paper, maximum principle for the generalized time-fractional diffusion equations including the multi-term diffusion ...
Luchko, Yury
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Approximation of mild solutions of the linear and nonlinear elliptic equations [PDF]
, 2014 In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u\left(t\right)=\mathcal{A}u\left(t\right)+f\left(t,u\left(t\right)\right)
Dang Duc Trong +4 more
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Diffusion in a continuum model of self-propelled particles with alignment interaction [PDF]
, 2010 In this paper, we provide the $O(\epsilon)$ corrections to the hydrodynamic model derived by Degond and Motsch from a kinetic version of the model by Vicsek & coauthors describing flocking biological agents.
Cercignani C. +5 more
core +3 more sources
Existence and blowup of solutions for non-divergence polytropic variation-inequality in corn option trading [PDF]
, 2023 This paper focuses on a class of variation-inequality problems involving non-divergence polytropic parabolic operators. The penalty method is employed, along with the Leray Schauder fixed point theory and limit progress, to determine the existence of ...
Changchun Bi, Jia Li
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On the Cauchy problem for semilinear elliptic equations [PDF]
, 2016 We study the Cauchy problem for non-linear (semilinear) elliptic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard.
Binh, TT, Lesnic, D, Taun, NH, Viet, TQ
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Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley +1 more source
Approximation of Bayesian inverse problems for PDEs [PDF]
, 2009 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
A. M. Stuart +3 more
core +6 more sources
Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 43-67, 1992., 1991 The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder′s theorem is used. The paper is a continuation of papers [1]‐[8] and the generalizations of some results from [9]‐[11].
Ludwik Byszewski
wiley +1 more source