On a class of weakly hyperbolic operators

DOI10.3103/S1068362318060018zbMath1429.35152OpenAlexW2939511256MaRDI QIDQ2331926

H. G. Ghazaryan, Vachagan N. Margaryan

Publication date: 31 October 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318060018

zbMATH Keywords

Gevrey's multianisotropic spaceNewton's completely regular polyhedronweighted hyperbolic operator (polynomial)

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order hyperbolic equations (35L30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

HYPERBOLICITY WITH WEIGHT OF POLYNOMIALS IN TERMS OF COMPARING THEIR POWER ⋮ Unnamed Item ⋮ Addition of lower order terms to weakly hyperbolic operators with preservation of their type of hyperbolicity ⋮ On certain class of weighted hyperbolic polynomials

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Iterati di operatori e regolarita Gevrey microlocale anisotropa
• On the Cauchy-Kowalevskaya theorem for systems
• On Gevrey type solutions of hypoelliptic equations
• Generalized hyperbolicity
• Necessary and sufficient conditions for the hyperbolicity of polynomials with hyperbolic principal part
• Local hyperbolicity
• Linear hyperbolic partial differential equation with constant coefficients
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