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pro vyhledávání: '"Kateryna Buryachenko"'
Autor:
Yuliia Andreieva, Kateryna Buryachenko
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
We investigate the qualitative properties of weak solutions to the boundary value problems for fourth-order linear hyperbolic equations with constant coefficients in a plane bounded domain convex with respect to characteristics. Our main scope is to
Externí odkaz:
https://doaj.org/article/d24b1c427e0744d28e8827edf9516d3a
Autor:
Kateryna Buryachenko
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 91,, Pp 1-9 (2018)
In this article we study the quasilinear elliptic equation with absorption lower term $$ -\hbox{div} \Big(g(|\nabla u|)\frac{\nabla u}{|\nabla u|}\Big)+f(u)= 0, \quad u\geq 0. $$ Despite of the lack of comparison principle, we prove a priori e
Externí odkaz:
https://doaj.org/article/363fb0b57467416bb62d7e474ca587a8
Autor:
Kateryna Buryachenko
Publikováno v:
Ukrainian Mathematical Bulletin. 16:28-45
For parabolic equations with nonstandard growth conditions, we prove local boundedness of weak solutions in terms of nonlinear parabolic potentials of the right-hand side of the equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e855d26c02333150b21b0e5e0178bb8
https://doi.org/10.37069/1810-3200-2019-16-1-3
https://doi.org/10.37069/1810-3200-2019-16-1-3