Cauchy problems for the operator of Tricomi's type

DOI10.14492/hokmj/1381758414zbMath0415.35058OpenAlexW2060479392MaRDI QIDQ600012

Masato Imai

Publication date: 1979

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758414

zbMATH Keywords

elliptic operatorwell-posedness of the Cauchy problemprincipal symboloperator of Tricomi's typeweakly hyperbolic partial differential operator

Mathematics Subject Classification ID

Second-order hyperbolic equations (35L10) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

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Parametrices for a class of differential operators with multiple characteristics ⋮ Unique existence of evolution equations of hyperbolic type with countably many singular or degenerate points ⋮ Solvability theorems for linear equations of Tricomi type ⋮ Propagation of singularities phenomena for equations of tricome type ⋮ A simple construction of a parametrix for a regular hyperbolic operator ⋮ Parametrices for operators of Tricomi type