A density theorem about some system
A note to the Fourier method of solving partial second-order differential equations
A note to the Laplace transformation
A partial differential operator which is surjective on Gevrey classes with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6
It is shown that the partial differential operator is surjective if 1 ≤ d < 2 or d ≥ 6 and not surjective for 2 ≤ d < 6.
A pure smoothness condition for Radó’s theorem for -analytic functions
Let be a bounded, simply connected -convex domain. Let and let be a function on which is separately -smooth with respect to (by which we mean jointly -smooth with respect to , ). If is -analytic on , then is -analytic on . The result is well-known for the case , , even when a priori is only known to be continuous.
A use of the Laplace method in differential equations
Abschätzung nach unten für Lösungen nichtlinearer Differentialungleichungen
Algorithmic construction of hyperfunction solutions to invariant differential equations on the space of real symmetric matrices.
An approach based on matrix polynomials for linear systems of partial differential equations
In this paper, an approach based on matrix polynomials is introduced for solving linear systems of partial differential equations. The main feature of the proposed method is the computation of the Smith canonical form of the assigned matrix polynomial to the linear system of PDEs, which leads to a reduced system. It will be shown that the reduced one is an independent system of PDEs having only one unknown in each equation. A comparison of the results for several test problems reveals that the method...
An iteration method for nonlinear second order evolution equations
Analytic approximation for homogeneous solutions of linear PDE's
Autour du théorème de Holmgren sur l'unicité de Cauchy