Bodnarchuk I. Regularity of solutions of partial differential equations with stochastic measures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0417U004331

Thesis Registration Form

0417U004331.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

20-11-2017

Specialized Academic Board

Д26.001.37

Essay

The existence and uniqueness of mild solutions are proved in the case of wave, heat and parabolic equations in which random influence given by stochastic measures. Holder continuity of paths of mild solutions for wave, heat and parabolic equations in time and space variables is established. It is also shown that the solutions of these problems are continuous depended on the data. It is shown that under some assumptions the solution tends to 0 as absolute value of space variable tends to infinity.

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Files

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