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Pseudodifferential Operators with Rough Negative Definite Symbols

✍ Scribed by Alexander Potrykus


Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
343 KB
Volume
66
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


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✍ 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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## 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.