Hyperbolic equation with singular coefficient
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 1
Abstract
Dedicated to research existence conditions of quasi-linear differential equations with measurable coefficients, ie the study limitations imposed by the non linearity in which the system will have to research a solution and uniqueness of the solution of a certain class of functions. We consider weak solvability of quasi-linear differential partial differential equations of hyperbolic type with smooth and measurable singular coefficients, research methods based on the theory of semigroups using the method of differential forms. A new class of operators 𝐴𝑝 𝜆 : 𝑊𝑝 1 → 𝑊𝑝 −1 associated with a given differential equation and investigate the properties of these operators.
Authors and Affiliations
M. I. Yaremenko
Keywords
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