On a mixed problem for a constant coefficient second-order system.
On algebraic characterization of coercive linear partial differential operators with constant coefficients
On continuation of regular solutions of linear partial differential equations
On extensions of the Mittag-Leffler theorem
The classical Mittag-Leffler theorem on meromorphic functions is extended to the case of functions and hyperfunctions belonging to the kernels of linear partial differential operators with constant coefficients.
On homogeneous rotation invariant distributions and the Laplace operator
On Lp - Lp' Estimates for the Wave Equation.
On reduction of some classes of partial differential equations to equations with fewer variables and exact solutions.
On tensor functions whose gradients have some skew-symmetries
Let be a real inner product space of any dimension; and let be a -map relating any two tensor spaces on . We study the consequences imposed on the form of this function by the condition that its gradient should be skew-symmetric with respect to some pairs of indexes. Any such a condition is written as a system of linear partial differential equations, with constant coefficients, which is symmetric with respect to certain couples of independent variables. The solutions of these systems appear...
On the condition of Λ-convexity in some problems of weak continuity and weak lower semicontinuity
We study the functional , where u=(u₁, ..., uₘ) and each is constant along some subspace of ℝⁿ. We show that if intersections of the ’s satisfy a certain condition then is weakly lower semicontinuous if and only if f is Λ-convex (see Definition 1.1 and Theorem 1.1). We also give a necessary and sufficient condition on to have the equivalence: is weakly continuous if and only if f is Λ-affine.
On the Davey-Stewartson systems
On the envelope of regularity for solutions of homogeneous systems of linear partial differential operators
On the existence of a fundamental solution for a parabolic differential equation with unbounded coefficients
On the Existence of Real Analytic Solutions of Partial Differential Equations with Constant Coefficients.
On the Functional Dimension of Solution Spaces of Hypoelliptic Partial Differential Operators.
On the functors Ext¹(E,F) for Fréchet spaces
On the "Fundamental Principle" of L. Ehrenpreis
On the global solvability of linear partial differential equations with constant coefficients in the space of real analytic functions
This article surveys results on the global surjectivity of linear partial differential operators with constant coefficients on the space of real analytic functions. Some new results are also included.
On the hyperbolicity of a third order operator and the generalized Goursat-Darboux problem
On the Influence of Lower Order Terms for Propagation of Analytic Singularities for Operators with Constant Coefficients.
On the Operator Solutions of Difference Equations