A class of pseudodifferential operators with degeneracy (Q403909)

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scientific article; zbMATH DE number 6336256
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A class of pseudodifferential operators with degeneracy
scientific article; zbMATH DE number 6336256

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    A class of pseudodifferential operators with degeneracy (English)
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    29 August 2014
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    The paper introduces new classes of weighted pseudodifferential operators with symbols depending on a complex parameter. These pseudodifferential operators are suitable for studying general parabolic problems with degeneracy. A symbolic calculus is studied as in the classical theory of pseudodifferential operators of Hörmander's classes. The authors also give a Gårding inequality for their classes of weighted pseudodifferential operators. All the results of the paper are presented without proofs.
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