Classical And Nonclassical Problems For Parabolic Equations With Bessel Operators

ABSTRACT

A number of phenomena in modern science can be conveniently described in terms

of problems for parabolic equations with Bessel operator and nonlocal conditions.

The purpose of this study is to give a survey of classical and nonclassical problems

for parabolic differential equations with Bessel operator, give introduction to several

different research approaches and show how the choice of a method depends on the nature

of the problem. Another aim is to study the solution to the problem with nonlocal

integral condition for a parabolic equation with singularity. We apply apriori estimate

method and method of nonlinear functional analysis to investigate the problem. We

extend the existing results and prove the uniqueness and continuous dependance on

initial data of the solution to this problem.

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