AbstractElliptic complexes, made up of certain linear partial differential operators D1, …, Dd with C∞ coefficients, are constructed. The local solvability problem for the nonhomogeneous equations Dpu=f(p∈{1, …, d}) and the local integrability problem for the homogeneous equation D1u=0 are solved
AbstractThe goal of this paper is to discuss a relation between microlocal solvability and an existe...
AbstractA boundary-value problem is formulated and then shown to be well-posed on the strip for a li...
We prove the existence of solutions for essentially all linear partial differential equations with C...
AbstractElliptic complexes, made up of certain linear partial differential operators D1, …, Dd with ...
AbstractIt is shown that a necessary condition for the local solvability of the operator P(x, D) = P...
AbstractWe prove that first-order partial differential operators of principal type with smooth coeff...
AbstractIt is shown that a sufficient condition for the local solvability of an operator P(x, Dx) = ...
The most primitive question one can ask concerning a partial differential equation i s i f there exi...
In this paper we will analyze the local solvability property of some second order linear degenerate ...
We study the local solvability of a class of operators with multiple characteristics. The class cons...
none1noIn this paper we will analyze the local solvability property of some second order linear dege...
We provide sufficient conditions of local solvability for partial differential operators with variab...
It was a great surprise when Hans Lewy in 1957 presented a non-vanishing complex vector field that i...
AbstractIt is shown that an operator L with the canonical form L = Dt2p + 1 + a(t, Dx) is locally so...
This paper studies the solvability for square systems of classical pseudodifferential operators. We ...
AbstractThe goal of this paper is to discuss a relation between microlocal solvability and an existe...
AbstractA boundary-value problem is formulated and then shown to be well-posed on the strip for a li...
We prove the existence of solutions for essentially all linear partial differential equations with C...
AbstractElliptic complexes, made up of certain linear partial differential operators D1, …, Dd with ...
AbstractIt is shown that a necessary condition for the local solvability of the operator P(x, D) = P...
AbstractWe prove that first-order partial differential operators of principal type with smooth coeff...
AbstractIt is shown that a sufficient condition for the local solvability of an operator P(x, Dx) = ...
The most primitive question one can ask concerning a partial differential equation i s i f there exi...
In this paper we will analyze the local solvability property of some second order linear degenerate ...
We study the local solvability of a class of operators with multiple characteristics. The class cons...
none1noIn this paper we will analyze the local solvability property of some second order linear dege...
We provide sufficient conditions of local solvability for partial differential operators with variab...
It was a great surprise when Hans Lewy in 1957 presented a non-vanishing complex vector field that i...
AbstractIt is shown that an operator L with the canonical form L = Dt2p + 1 + a(t, Dx) is locally so...
This paper studies the solvability for square systems of classical pseudodifferential operators. We ...
AbstractThe goal of this paper is to discuss a relation between microlocal solvability and an existe...
AbstractA boundary-value problem is formulated and then shown to be well-posed on the strip for a li...
We prove the existence of solutions for essentially all linear partial differential equations with C...
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