First integrals for a direction field on a simply connected plane domain
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Publication:1105768
DOI10.2140/PJM.1988.132.195zbMath0649.35017OpenAlexW2029568538MaRDI QIDQ1105768
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
differentiable manifoldsfirst integraldirection fieldnormalization of second order linear partial differential equationssimply connected plane domain
Nonlinear higher-order PDEs (35G20) Qualitative properties of solutions to partial differential equations (35B99)
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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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