Vol. 116, No. 1, 1985

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Whitney stability of solvability

John Kelly Beem and Phillip E. Parker

Vol. 116 (1985), No. 1, 11–23
Abstract

The set of symbols which are both of real principal type and pseudoconvex is shown to be open in the Whitney topology on the space of symbols of order k. This yields sufficient conditions for the stability of solvability of pseudodifferential equations.

Mathematical Subject Classification 2000
Primary: 58G15
Secondary: 53C50
Milestones
Received: 25 May 1983
Published: 1 January 1985
Authors
John Kelly Beem
Phillip E. Parker