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First integrals for a direction field on a simply connected plane domain

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Publication:1105768
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DOI10.2140/PJM.1988.132.195zbMath0649.35017OpenAlexW2029568538MaRDI QIDQ1105768

Joel L. Weiner

Publication date: 1988

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1988.132.195


zbMATH Keywords

differentiable manifoldsfirst integraldirection fieldnormalization of second order linear partial differential equationssimply connected plane domain


Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Qualitative properties of solutions to partial differential equations (35B99)


Related Items (6)

Integrability and adapted complex structures to smooth vector fields on the plane ⋮ Solvability of the cohomological equation for regular vector fields on the plane ⋮ Partially isometric immersions and free maps ⋮ Partial immersions and partially free maps ⋮ Global integrals for plane systems with finitely many singularities ⋮ Weak solutions of the cohomological equation on \(\mathbb R^2\) for regular vector fields







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