On elliptic partial differential equations in bioimpedance

Lecture Notes on Elliptic Partial Differential Equations

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...

Essential Spectra of Elliptic Partial Differential Equations

Let A be a closed, densely defined operator in a Banach space X. There are several definitions of the "essential" spectrum of A (cf. [ l ] , [2]). According to Wolf [3], [4] it is the complement in the complex plane of the $-set of A. The $-set $A of A is the set of points X for which (a) a(A — X), the dimension of the null space of A — X, is finite (b) R(A —X), the range of A —X, is closed (c)...

On the Solutions of Quasi-linear Elliptic Partial Differential Equations*

The literature concerning these equations being very extensive, we shall not attempt to give a complete list of references. The starting point for many more modern researches has been the work of S. Bernstein,f who was the first to prove the analyticity of the solutions of the general equation with analytic and who was able to obtain a priori bounds for the second and higher derivatives of ...

On the Construction of Discretizations of Elliptic Partial Differential Equations

Dedicated to Gerry Ladas on the occasion of his 60th Birthday Algorithmic aspects of a class of nite element collocation methods for the approximate numerical solution of elliptic partial diierential equations are described. Locally, for each nite element, the approximate solution is a polynomial. Polynomials corresponding to adjacent nite elements need not match continuously, but their values ...