[PDF] Top 20 2. Regularization for a class of backward parabolic problems

... In our knowledge, the case A has discrete spectrum has been treated in many recent papers, such as [16, 18]. However, the literature on the homogeneous case of the problem in the case A has continuous spectrum are quite ... See full document

... 4 Regularization by the Kozlov-Maz’ya iteration method and error estimates In [, ] Kozlov and Maz’ya proposed an alternating iterative method to solve boundary value problems for general strongly ... See full document

... Such problems can be inves- tigated through a parabolic regularization of function b(u) or by perturbing the boundary and initial data such that the corresponding solutions do not take the degenerate ... See full document

... a class of hemivariational inequalities has been studied by many authors, for example, parabolic type problems in 1–4, and hyperbolic types in ...1, 2 proved the existence of weak solutions ... See full document

... Ababna, Regularization by nonlocal conditions of the problem of the control of the initial condi- tion for evolution operator-differential equations, Vestnik Belorusskogo Gosudarstvennogo Uni- ...no. 2, ... See full document

... In this paper, by constructing some appropriate auxiliary functions and using first order differential inequalities technique we investigate the more general problem (3)-(5). In section 2, we develop a su ffi cient ... See full document

... [4] T. Bartsch and M. Willem, “On an Elliptic Equation with Concave and Convex Nonlinearities,” Proceedings of the American Mathematical Society, Vol. 123, 1995, pp. 3555-3561. ... See full document

... The parabolic system (2.6) corresponds to the natural regularization of (2.5) by considering all terms in the Taylor expansion up to order two and automatically pro- vides the right framework, i.e., an ... See full document

... with both homogeneous Dirichlet boundary condition and homogeneous Neumann boundary condition. They obtained the lower bounds for the blow-up time under the above two boundary conditions. Later, others generalized this ... See full document

... fourth-order problems that depend on a regularization parameter ...inverse problems such as inverse heat conduction problem [, ], backward heat conduction problem [], the Cauchy problem ... See full document

... In other words, from the temperature distribution at a particular time t T final data, we want to retrieve the temperature distribution at any earlier time t < T. This problem is called the backward heat ... See full document

... 18. Argyros, IK: A semilocal convergence for directional Newton methods. Math. Comput. 80, 327-343 (2011) 19. Argyros, IK, Hilout, S: Weaker conditions for the convergence of Newton’s method. J. Complex. 28, 364-387 ... See full document

... for |s| → ∞ for the details see 1. J¨ager and Kaˇcur treated the porous medium systems where β is strictly monotone in 2 and Stefan-type problems where β is only monotone. For the last model, there exists a ... See full document

... Noting that the five assumptions of Theorem 1 do not assume any H¨older con- tinuity of the function f even in the first unknown variable (that is, in the fourth argument), we do not expect any uniqueness of the weak ... See full document

... Elmahi, A, Meskine, D: Strongly nonlinear parabolic equations with natural growth terms and L 1 data in Orlicz spaces. Portugaliae Math 62 (2005)[r] ... See full document

... to parabolic problems under a homoge- neous Dirichlet boundary condition and Neumann condition has earned great attention (see ...these problems under the Robin boundary conditions (see ... See full document

... In the first comparison, we pick 10 random gray scale images with small size, typically 205 × 205, or approximately 40, 000 pixels. Following the same procedure as described by Beck and Teboulle (2009), the image is ... See full document

... A STABILITY RESULT FOR PARAMETER IDENTIFICATION PROBLEMS IN NONUNEAR PARABOLIC PROBLEMS STANISLAW MIGRSKI.. Ja,gclloni, University ul..[r] ... See full document

... The rest of the paper is organized as follows. Section  is devoted to initial boundary value problems (.) and (.) through energy methods. In Section , we investigate initial value problems (.) and ... See full document

... a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic equations.. Von Neumann stability is shown to hold for the[r] ... See full document