Browsing by Author "Abdulla, Ugur G."
Now showing items 1-6 of 6
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Existence of Solution to an Optimal Control Problem for the Heat Equation
Earl, CurtisConsider the non-homogeneous heat equation with Neumann and Robin boundary conditions: (See Poster for the equations (1)-(4)). The problem (1)-(4) is well posed for sufficiently well behaved data, but what if some of the ... -
Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation
Abdulla, Ugur G. (2005)This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of ( ) for the diffusion (or heat) equation. The result implies asymptotic ... -
On the Classification of the Second Minimal Orbits of the Continuous Endomorphisms on the Real Line and Universality in Chaos
Iqbal, Naveed H (2017-04)This dissertation presents full classification of second minimal odd periodic orbits of a continuous endomorphisms on the real line. A (2k + 1)-periodic orbit (k ≥ 3) is called second minimal for the map f, if 2k−1 is a ... -
On the Inverse Multiphase Stefan Problem
Cevallos, Bruno Giuseppe Poggi (2015-07)We consider inverse multiphase Stefan problem, where information on the heat flux on the fixed boundary is missing and must be found along with the temperature and free boundaries. Optimal control framework is pursued, ... -
On the optimal control of the free boundary problems for the second order parabolic equations. I. well-posedness and convergence of the method of lines
Abdulla, Ugur G. (2013-05)We develop a new variational formulation of the inverse Stefan problem, where information on the heat flux on the fi xed boundary is missing and must be found along with the temperature and free boundary. We employ optimal ... -
Reaction-Diffusion in Nonsmooth and Closed Domains
Abdulla, Ugur G. (2006-11-30)We investigate the Dirichlet problem for the parabolic equation in a nonsmooth and closed domain possibly formed with irregular surfaces and having a characteristic vertex point. Existence, boundary regularity, uniqueness, ...