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Pseudodifferential Operators with Rough Symbols

✍ Scribed by Atanas Stefanov


Publisher
SP Birkhäuser Verlag Boston
Year
2009
Tongue
English
Weight
506 KB
Volume
16
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES


Pseudodifferential operators with compou
✍ Yu. I. Karlovich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 252 KB

## Abstract Let __V__ (ℝ) denote the Banach algebra of absolutely continuous functions of bounded total variation on ℝ. We study an algebra 𝔅 of pseudodifferential operators of zero order with compound slowly oscillating __V__ (ℝ)‐valued symbols (__x__, __y__) ↦ __a__ (__x__, __y__, ·) that satisfy

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✍ Tran Duc Van; Dinh Nho Hào 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 1010 KB

## Abstract This paper introduces some methods (including an approximation method) for investigating pseudodifferential equations and related problems (Cauchy problems, boundary value problems,…) based on the technique of pseudodifferential operators with real analytic symbols.

Subunit Balls for Symbols of Pseudodiffe
✍ Alberto Parmeggiani 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 880 KB

In this work we shall study a definition of subunit ball for non-negative symbols of sub-elliptic pseudodifferential operators, extending in phase-space the one given by Stein, Nagel, and Wainger in the differential-operator case. Using microlocal methods introduced by Fefferman and Phong, we prove