Some coefficient problems and applications

Fast Algorithms for Solution of Some Nonlinear Coefficient Inverse Problems for Differential Equations and Applications

Two classes of nonlinear coefficient Inverse Problems (IP) for differential equations are considered. The first class of the IP corresponds to the case of a stationary process, is described by an elliptic equation with some boundary conditions. The problem of the coefficient reconstruction, using measurements on a boundary only, corresponds to the Electrical Tomography. Known methods for the el...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Some Applications of Mathematics to Breeding Problems.

INTRODUCTION .................................................................. 489 PART I. APPLICATIONS OF THE METHODS OF MATHEMATICAL INDUCTION AND REPE........................................................... 490 490 2. A special case of assortative mating.. ................................ 491 492 PART 11. GENERAL TERMS OF JENNINGS’S SERIES. 493 494 495 496 496 PART 111. BROTHER AND SISTE...

Some Applications of Localization to Enumerative Problems

1 Dedicated to Bill Fulton on the occasion of his 60th birthday 1. Introduction. A problem in enumerative geometry frequently boils down to the computation of an integral on a moduli space. We have intersection theory (with Fulton's wonderful Intersection Theory [7] as a prime reference) to thank for allowing us to make rigorous sense of such integrals, but for their computations we often need ...

Applications of convexity in some identification problems