Rusaniuk L. Equations of mathematical physics with random factors having heavy tails

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0419U000387

Thesis Registration Form

0419U000387.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

23-01-2019

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The dissertation work investigates stochastic partial differential equations with a heavy-tailed random source. The equations considered are of parabolic type (heat equation) and of hyperbolic type (equation of forced vibrations of a homogeneous string, wave equation). The random source under consideration is symmetric alpha-stable noise, which is either "white", i.e. has independent values, or "colored'', with dependent values.

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Files

autoreferat--aref.pdf

dis.pdf

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