References & Citations
Mathematics > Analysis of PDEs
Title: Sufficient Conditions for Solvability of Operators of Subprincipal Type
(Submitted on 27 Mar 2024 (v1), last revised 24 Apr 2024 (this version, v2))
Abstract: In this paper we show that condition $\operatorname{Sub_r}(\Psi)$ on the subprincipal symbol is sufficient for local solvability of pseudodifferential operators of real subprincipal type. These are the operators having real principal symbol which vanish on an involutive manifold where the subprincipal symbol is of principal type. This condition has previously been shown by the author to be necessary for local solvability of pseudodifferential operators of real subprincipal type.
Submission history
From: Nils Dencker [view email][v1] Wed, 27 Mar 2024 23:25:39 GMT (80kb)
[v2] Wed, 24 Apr 2024 18:15:28 GMT (63kb)
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