On the similarity principle for planar vector fields: Application to second order PDE

DOI10.1006/jdeq.1999.3627zbMath0937.35079OpenAlexW2050984578MaRDI QIDQ1305479

Abdelhamid Meziani

Publication date: 7 June 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3627

zbMATH Keywords

characteristicVekua systemssimilarity principlenonelliptic vector field

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Riemann-Hilbert problems in context of PDEs (35Q15) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

Related Items

A Łojasiewicz inequality in hypocomplex structures of ℝ², Solvability in the large and boundary value problems for Mizohata type operators, A similarity principle for locally solvable vector fields., Properties of solutions of a class of hypocomplex vector fields, A similarity principle for complex vector fields and applications, On planar elliptic structures with infinite type degeneracy, Solvability near the characteristic set for a class of planar vector fields of infinite type., Cauchy integral operator in complex structures with degeneracies

Cites Work

• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• An outline of the theory of pseudoanalytic functions
• Solvability of a first order linear partial differential equation
• Demarks about certain first-order linear pdf in two variables
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