Showing papers in "Communications in Partial Differential Equations in 1978"
290 citations
TL;DR: In this paper, a class of pseudodifferential operators with double characteristics and applications to the -neumann problem were analyzed and shown to be hypo-ellipticity.
Abstract: (1978) Analytic hypo-ellipticity of a class of pseudodifferential operators with double characteristics and applications to the -neumann problem Communications in Partial Differential Equations: Vol 3, No 6-7, pp 475-642
146 citations
TL;DR: In this paper, the authors present an asymptotic behalrior of the scattering phase for exterior domains, based on the partial differential equation (PDE) of the exterior domain.
Abstract: (1978). Asymptotic behalrior of the scattering phase for exterior domains. Communications in Partial Differential Equations: Vol. 3, No. 12, pp. 1165-1195.
78 citations
TL;DR: In this article, the authors present the Proprietes spectrales d'operators pseduo-differentiels for Communications in Partial Differential Equations: Vol. 3, No. 9, pp. 755-826.
Abstract: (1978). Proprietes spectrales d'operators pseduo-differentiels. Communications in Partial Differential Equations: Vol. 3, No. 9, pp. 755-826.
73 citations
TL;DR: In this paper, the authors propose a multi-product of phase functions for fourier integral opertaors with an application, which they call Multi-products of Phase Functions for Fourier Integral Opertaors (MOPF).
Abstract: (1978). Multi—products ofphase functions for fourier integral opertaors with an application. Communications in Partial Differential Equations: Vol. 3, No. 4, pp. 349-380.
39 citations
TL;DR: In this paper, the convergence of solutions of hyperbolic equations is studied in the context of Partial Differential Equations (PDE) and partial differential equations (PDEs).
Abstract: (1978). On the convergence of solutions of hyperbolic equations. Communications in Partial Differential Equations: Vol. 3, No. 1, pp. 77-103.
36 citations
32 citations
TL;DR: In this paper, the Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3 is proposed for communication in Partial Differential Equations.
Abstract: (1978). Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3. Communications in Partial Differential Equations: Vol. 3, No. 8, pp. 643-743.
29 citations
TL;DR: In this paper, the authors studied the regularity of the solution of the quasi variational inequality for the impulse control problem and showed that it is not a special case of variational inequalities.
Abstract: (1979). Regularity of the solution of the quasi variational inequality for the impulse control problem, II. Communications in Partial Differential Equations: Vol. 4, No. 3, pp. 279-291.
26 citations
TL;DR: In this article, Propriete des iteres et ellipticite et al. presented a partial differential equation (PDE) based approach for partial differential equations (PDE).
Abstract: (1978). Propriete des iteres et ellipticite. Communications in Partial Differential Equations: Vol. 3, No. 9, pp. 827-876.
26 citations
TL;DR: In this article, the propagation of singularities for non-linear wave equations in one dimension was studied and a singularity propagation algorithm was proposed for one-dimensional wave equations with one dimension singularities.
Abstract: (1978). Propagation of singularities for non-linear wave equations in one dimension. Communications in Partial Differential Equations: Vol. 3, No. 2, pp. 153-199.
TL;DR: In this article, Parametrices and local solvability for a class of singular hyperbolic operators are discussed. But they do not consider the case where the singular operator does not have a singularity.
Abstract: (1978). Parametrices and local solvability for a class of singular hyperbolic operators. Communications in Partial Differential Equations: Vol. 3, No. 2, pp. 105-152.
TL;DR: In this paper, the degenerate elliptic-parabolic equation has been studied in the context of Partial Differential Equations (PDE) and partial differential equations (PDEs).
Abstract: (1978). Degenerate elliptic-parabolic equation. Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1007-1040.
TL;DR: In this article, the number of lattice points in some domains has been studied in the context of Partial Differential Equations (PDE) and partial differential equations (PDEs).
Abstract: (1978). On the number of lattice points in some domains. Communications in Partial Differential Equations: Vol. 3, No. 4, pp. 335-347.
TL;DR: In this article, the authors studied second order partial differential operators in the uniform norm, where the boundary condition that the functions in the definition space go to zero at infinity is not assumed.
Abstract: In this paper we study second order partial differential operators in the uniform norm. We solve the problem of constructing a closed extension of the operator and of characterizing its essential spectrum. This program has been extensively developed in the £p, case.But the existing methods are not strong nough to dealwith th £∞ case. The uniform norm presents the interesting new feature that the boundary condition that the functions in the definition space go to zero at infinity (in £ sense) is not assumed, allowing for example to have functions in the domain of the operator. Since most of the techniques used in £p, are not applicable in £∞we create a new theory.
TL;DR: In this paper, the uniqueness of solutions to partial differential equations has been investigated in the context of communications in partial differential equations (CDE) and partial differential equation (PDE).
Abstract: (1978). Uniqueness of Solutions to . Communications in Partial Differential Equations: Vol. 3, No. 11, pp. 1053-1076.