Hyperbolic equations with memory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F17%3A77073" target="_blank" >RIV/60460709:41110/17:77073 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
čeština
Original language name
Hyperbolic equations with memory
Original language description
The existence of a solution to the equation governing the evolution of a displacement vector in an elastic body with non-local time and spatial memory is considered. A global weak solution to an associated initial-boundary value problem is established by constructing Galerkin approximations. Lebesgue or Sobolev spaces can be generalized for all real numbers and can be defined also on Banach spaces. They are equipped with several equivalent norms based on Fourier or Laplace transform and function expansion. These spaces help to derive suitable energy estimates.
Czech name
Hyperbolic equations with memory
Czech description
The existence of a solution to the equation governing the evolution of a displacement vector in an elastic body with non-local time and spatial memory is considered. A global weak solution to an associated initial-boundary value problem is established by constructing Galerkin approximations. Lebesgue or Sobolev spaces can be generalized for all real numbers and can be defined also on Banach spaces. They are equipped with several equivalent norms based on Fourier or Laplace transform and function expansion. These spaces help to derive suitable energy estimates.

Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)