Bondarenko V. Parabolic equation on riemannian manifold

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0505U000467

Thesis Registration Form

0505U000467.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

28-09-2005

Specialized Academic Board

Д 11.193.01

Essay

The dissertation is devoted to research of fundamental solution of parabolic differential equation on riemannian manifold of Cauchy-Hadamar type. A geometric apparatus of Jacoby fields was developed for function differentiation. The following results had been achieved for the heat Kernel: two-sided estimates were proved, and the method of its constructing was substantiated; the formula for logarithmic gradient was propised. The method for constructing fundamental solution of disturbed equation was proposed and substantiated. As a result, the sufficient conditions of equivalence for diffusion measures in Hilbert space were developed.

Read more

Files

aref.doc

disertacija--вступ--введение.doc

disertacija--вступ--заключення.doc

disertacija--вступ--оглавление.doc

disertacija--вступ--список_литературы.doc

disertacija--вступ--титул.doc

disertacija--глава_1--1.doc

disertacija--глава_1--2.doc

disertacija--глава_1--3.doc

disertacija--глава_1--4.doc

disertacija--глава_1--4_.doc

disertacija--глава_1--5.doc

disertacija--глава_1--6.doc

disertacija--глава_1--7.doc

disertacija--глава_2--1.doc

disertacija--глава_2--2.doc

disertacija--глава_2--3.doc

disertacija--глава_2--4.doc

disertacija--глава_2--5.doc

disertacija--глава_2--6.doc

disertacija--глава_2--7.doc

disertacija--глава_2--8.doc

disertacija--глава_2--9.doc

disertacija--глава_3--1.doc

disertacija--глава_3--2.doc

disertacija--глава_3--3.doc

disertacija--глава_3--4.doc

Similar theses

0521U102074

Golovaty Yuriy Danylovch

Singularly perturbed differential operators in models of quantum mechanics

0521U101590

Medynsky Ihor Pavlovych

Fundamental solutions of the Cauchy problem for degenerate parabolic equations

0421U102084

Heseleva Kateryna H.

Collocation-Iterative Method for Solving Integro-Functional Equations

0421U102060

Skutar Ihor D.

Asymptotic integration of systems of differential equations with a small parameter at some derivatives.

0421U101723

Myslo Yuliia M.

Asymptotically almost periodic solutions of differential equations with delay and impulses