m‐Microlocal elliptic pseudodifferential operators acting on      L    loc   p    (   Ω   ) | Zendy

Garello Gianluca | Zendy; Morando Alessandro | Zendy

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m‐Microlocal elliptic pseudodifferential operators acting on L loc p ( Ω )

Author(s) -

Garello Gianluca,

Morando Alessandro

Publication year - 2016

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201400151

Subject(s) - pseudodifferential operators , mathematics , sobolev space , microlocal analysis , gravitational singularity , differential operator , homogeneous , extension (predicate logic) , elliptic operator , pure mathematics , class (philosophy) , fourier integral operator , mathematical analysis , space (punctuation) , operator theory , combinatorics , linguistics , philosophy , artificial intelligence , computer science , programming language

In the first part of the paper we study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fréchet spaceL loc p ( Ω ) . In the second one non homogeneous microlocal properties are introduced and propagation of Sobolev singularities for solutions to (pseudo)differential equations is given. For both the arguments actual examples are provided.

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