Search results for "Symbol of a differential operator"

showing 3 items of 3 documents

Explicit polynomial solutions of fourth order linear elliptic Partial Differential Equations for boundary based smooth surface generation

2011

We present an explicit polynomial solution method for surface generation. In this case the surface in question is characterized by some boundary configuration whereby the resulting surface conforms to a fourth order linear elliptic Partial Differential Equation, the Euler–Lagrange equation of a quadratic functional defined by a norm. In particular, the paper deals with surfaces generated as explicit Bézier polynomial solutions for the chosen Partial Differential Equation. To present the explicit solution methodologies adopted here we divide the Partial Differential Equations into two groups namely the orthogonal and the non-orthogonal cases. In order to demonstrate our methodology we discus…

Mathematical analysisFirst-order partial differential equationExplicit and implicit methodsAerospace EngineeringPartial differential equationExplicit polynomial solutionExponential integratorComputer Graphics and Computer-Aided DesignParabolic partial differential equationSurface generationPDE surfaceLinear differential equationElliptic partial differential equationModeling and SimulationAutomotive EngineeringSymbol of a differential operatorMathematicsComputer Aided Geometric Design
researchProduct

Sur une classe d’equations du type parabolique lineaires

1996

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.

Semi-elliptic operatorElliptic operatorsymbols.namesakeElliptic partial differential equationGeneral MathematicsMathematical analysisHilbert spacesymbolsHilbert's nineteenth problemC0-semigroupSymbol of a differential operatorNumerical partial differential equationsMathematicsRendiconti del Circolo Matematico di Palermo
researchProduct

Removability theorems for solutions of degenerate elliptic partial differential equations

1993

Pure mathematicsParametrixGeneral Mathematics010102 general mathematicsFirst-order partial differential equation01 natural sciencesParabolic partial differential equation010101 applied mathematicsStochastic partial differential equationSemi-elliptic operatorElliptic partial differential equation0101 mathematicsSymbol of a differential operatorNumerical partial differential equationsMathematicsArkiv för Matematik
researchProduct