AbstractLet P be a polynomial in two variables. We give an algebraic characterization of the existence of a family of local fundamental solutions E±ε,A∈E′(R2),0<ε<1<A, nearly supported in a half-space, i.e., P(D)E±ε,A=δ0+f±ε,A, where Supp(E±ε,A)⊂H±ε≔{x∈R2:±x2≥−ε} and Supp(f±ε,A)⊂H±ε\[−A,A]2
Let L be a possibly degenerate second order differential operator and let Γη = d^(2−Q) be its funda...
AbstractWe characterize the surjectivity of a linear partial differential operator with constant coe...
This monograph provides the theoretical foundations needed for the construction of fundamental solut...
AbstractFor certain partial differential operators with constant coefficients a fundamental solution...
The most primitive question one can ask concerning a partial differential equation i s i f there exi...
Abstract. We examine the local and semi-global solvability of partial dif-ferential operators which ...
Abstract. In this article we examine the local solvability of partial differ-ential operators of the...
ABSTRACT. In the present work, we investigate the applicability of the method fundamental solutions ...
The main goal of the present paper is to study the local solvability of semilnear partial differenti...
summary:Some asymptotic properties of principal solutions of the half-linear differential equation \...
that every (not identically vanishing) partial differential operator with constant coeffi-cients pos...
LetLLbe a possibly degenerate second order differential operator and letΓη=d2−Q\Gamma _\eta =d^{2-Q}...
We prove the existence of two fundamental solutions Φ and Φ ̃ of the PDE F (D2Φ) = 0 in Rn \ {0} fo...
In this article we introduce the notion of fundamental solution in the Colombeau context as an eleme...
AbstractThe characteristic properties of the principal solution for half-linear differential equatio...
Let L be a possibly degenerate second order differential operator and let Γη = d^(2−Q) be its funda...
AbstractWe characterize the surjectivity of a linear partial differential operator with constant coe...
This monograph provides the theoretical foundations needed for the construction of fundamental solut...
AbstractFor certain partial differential operators with constant coefficients a fundamental solution...
The most primitive question one can ask concerning a partial differential equation i s i f there exi...
Abstract. We examine the local and semi-global solvability of partial dif-ferential operators which ...
Abstract. In this article we examine the local solvability of partial differ-ential operators of the...
ABSTRACT. In the present work, we investigate the applicability of the method fundamental solutions ...
The main goal of the present paper is to study the local solvability of semilnear partial differenti...
summary:Some asymptotic properties of principal solutions of the half-linear differential equation \...
that every (not identically vanishing) partial differential operator with constant coeffi-cients pos...
LetLLbe a possibly degenerate second order differential operator and letΓη=d2−Q\Gamma _\eta =d^{2-Q}...
We prove the existence of two fundamental solutions Φ and Φ ̃ of the PDE F (D2Φ) = 0 in Rn \ {0} fo...
In this article we introduce the notion of fundamental solution in the Colombeau context as an eleme...
AbstractThe characteristic properties of the principal solution for half-linear differential equatio...
Let L be a possibly degenerate second order differential operator and let Γη = d^(2−Q) be its funda...
AbstractWe characterize the surjectivity of a linear partial differential operator with constant coe...
This monograph provides the theoretical foundations needed for the construction of fundamental solut...
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