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arXiv · 2409.19023

Local Solvability of Quasilinear Pseudodifferential Operators of Real Principal Type

Nils Dencker
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Abstract

In this paper we prove local solvability of quasilinear pseudodifferential operators which has homogeneous principal symbol of real principal type. This generalizes Theorem A.1 in arXiv:2403.19054, which treats the case of quasilinear partial differential operators of order 2. The proof is by microlocalization to first order model operators.

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Nils Dencker. 2024-09-25. Local Solvability of Quasilinear Pseudodifferential Operators of Real Principal Type. https://arxiv.org/abs/2409.19023

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