tation process (barrier effect, dead zone) that illustrates a full degenerating behaviour of the equation, the mathematical analysis of an implicit time-discretization ...
Abstract: In this paper we study the behaviors of the optimal convertible boundary (i.e. free boundary) of a American-style convertible bond with finite horizon (i.e. ...
Qo. the problem consists in finding a domain Q c Qt = R" x (0, T) for some ..... In order to compare ue with the actual approximation u£ we have to check the.
Abstract. We introduce a new free-boundary problem for the heat equation, of interest in combustion theory. It is obtained in the description of laminar flames as ...
Nov 6, 2008 - Instituto de Matemática, Estatıstica e Computaç˜ao Cientıfica. Universidade Estadual de Campinas. Rua Sérgio Buarque de Holanda, 651, ...
Jul 11, 2007 - for similarity solutions in free convection boundary-layer flows adjacent to ..... that there are b1 > b2 such that the functions f1 = fb1 and f2 = fb2.
Jun 28, 2001 - Volume 129, Number 12, Pages 3603â3610 .... The proof of Theorem 1.1 is based on the method of the moving hyperplanes, due to A.D. ...
In this paper we are concerned with a mathematical model which describes the electromagnetic ... E-mail: [email protected]. The work of this author was ...
Key words and phrases. isoperimetric inequality, free boundary problem, droplets, quadratic differentials, Schwarz ... most elementary proof of (1.1) is obtained in [10], where it is also noted that λ(K) attains its ... In view of the fact that (1.1
reflection in the UTSD equation, and the analogous problems for the unsteady ....
appears as a linear equation representing steady transonic flow in hodograph ...
A minimum problem with free boundary for a degenerate quasilinear operator. Donatella Danielli and Arshak Petrosyan. Abstract. In this paper we prove C. 1,α.
Problem for a Predator-Prey Model. RËazvan StefËanescu and Gabriel Dimitriu. University of Medicine and Pharmacy âGr. T. Popaâ,. Department of Mathematics ...
properties, Q+ is the upper half of the unit cylinder in Rn+1, and the equation ... consider a solution to the parabolic obstacle problem: u is a continuous function.
May be the best known example of a parabolic two-phase free boundary problem is the Stefan problem, ... QI\~, separated by a smooth surface S=(OI2)NQ1. In fl and QI\~ we have two smooth solutions, Ul and u2, of the heat equations ..... In the next co
May be the best known example of a parabolic two-phase free boundary problem ...... Let u be a viscosity solution of a free boundary problem in a domain.
the triple valued function of w which are called h+(v), hâ(v) and h0(v). From. [4, 8, 12], the trajectory with a ... âr v(0,t) = 0, lim rââ v(r, t) = 0}. For the application ...
the associated steady-state problem for a general star-shaped domain. Then we
classify ... Electrostatic MEMS, touchdown, quenching, Morse index. The work of
...
[6] P. Bizon, D. Maison and A. Wasserman, Self-similar solutions of ... [11] P.R. Garabedian, Partial Differential Equations, John Wiley, New York, 1964.
Mar 3, 2017 - Development Fund through the Partnership Agreement PT2020. References. [1] N. Aguilera, H. Alt, L. Caffarelli, An optimization problem with ...
Jun 8, 2017 - Firstly, applying Laplace transform to the governing FPDEs with respect to ...... control theory: applications in financial engineering, queueing.
Feb 16, 2009 - 2000 Mathematics Subject Classification. 35L70, 35L65 ...... The Institute of Mathematical Sciences, CUHK, Hong Kong,. E-mail address: ...
Jun 21, 1995 - loc(RN );rv 2 L2(RN ); v = 1 on D0g: The functional. J0 has a radially symmetric minimizer, U0 (see Ba], Corollary 2.1), and the free boundary ...
Sep 10, 2002 - This paper concerns regularity properties of a free boundary aris- .... Although in T heorem 3 .3 we consider the case of constant right hand side (con- ...... [5 ] Luis A. Caffarelli, Lavi Karp, and Henrik Shahgholian, R e g ularity o ...
