6533b821fe1ef96bd127c15e
RESEARCH PRODUCT
Sur une classe d’equations du type parabolique lineaires
Rachid BenabidallahHisao Fujita Yashimasubject
Semi-elliptic operatorElliptic operatorsymbols.namesakeElliptic partial differential equationGeneral MathematicsMathematical analysisHilbert spacesymbolsHilbert's nineteenth problemC0-semigroupSymbol of a differential operatorNumerical partial differential equationsMathematicsdescription
The application of the variational method for the existence theorem, developped by J. L. Lions, for the evolution equations in Hilbert spaces to a considerably large class of systems of linear partial differential equations of parabolic type is studied by defining Hilbert spaces in relation to the elliptic operator of the system, and an example insired by the system of equations for a viscous gas is examined.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-01-01 | Rendiconti del Circolo Matematico di Palermo |