Results 1 to 10 of about 81 (49)
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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A fully discrete evolving surface finite element method [PDF]
, 2012 In this paper we consider a time discrete evolving surface finite element method for the advection and diffusion of a conserved scalar quantity on a moving surface.
Charles M. Elliott +2 more
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Semismall perturbations, semi-intrinsic ultracontractivity, and integral representations of nonnegative solutions for parabolic equations [PDF]
, 2009 We consider nonnegative solutions of a parabolic equation in a cylinder $D \timesI$, where $D$ is a noncompact domain of a Riemannian manifold and $I =(0,T)$ with $0 < T \le \infty$ or $I=(-\infty,0)$.
Mendez-Hernandez, Pedro J. +1 more
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International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 279-291, 1999., 1998 In the present paper we study nonlocal problems for ordinary differential equations with a discontinuous coefficient for the high order derivative. We establish sufficient conditions, known as regularity conditions, which guarantee the coerciveness for both the space variable and the spectral parameter, as well as guarantee the completeness of the ...
M. Denche
wiley +1 more source
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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A system of impulsive degenerate nonlinear parabolic functional‐differential inequalities
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 59-68, 1995., 1994 A theorem about a system of strong impulsive degenerate nonlinear parabolic functional‐differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear ...
Ludwik Byszewski
wiley +1 more source
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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Almost periodic solutions to systems of parabolic equations
International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 581-586, 1994., 1994 In this paper we show that the second‐order differential solution is 𝕃2‐almost periodic, provided it is 𝕃2‐bounded, and the growth of the components of a non‐linear function of a system of parabolic equation is bounded by any pair of con‐secutive eigenvalues of the associated Dirichlet boundary value problems.
Janpou Nee
wiley +1 more source
Distributed Order Calculus and Equations of Ultraslow Diffusion [PDF]
, 2007 We consider diffusion type equations with a distributed order derivative in the time variable. This derivative is defined as the integral in $\alpha$ of the Caputo-Dzhrbashian fractional derivative of order $\alpha \in (0,1)$ with a certain positive ...
Anatoly N. Kochubei +39 more
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Quasilinearization for some nonlocal problems
International Journal of Stochastic Analysis, Volume 6, Issue 2, Page 117-122, 1993., 1993 The method of generalized quasilinearization [4] is applied to study semilinear parabolic equation ut − Lu = f(t, x, u) with nonlocal boundary conditions u(t,x)=∫Ωϕ(x,y)u(t,y)dy in this paper. The convexity of f in u is relaxed by requiring f(t, x, u) + Mu2 to be convex for some M > 0. The quadratic convergence of monotone sequence is obtained.
Yunfeng Yin
wiley +1 more source