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Abstract <p>The work concerns nondegenerate quasilinear first order differential equations on manifolds. Their global solvability in the class of geometric (multivalued) solutions is studied. It is established that the Cauchy problem has a unique greatest solution, and this solution is complete.</p>

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On Solvability of the Cauchy Problem for Quasilinear First Order Equations on Manifolds

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • D. V. Tunitsky

摘要

Abstract

The work concerns nondegenerate quasilinear first order differential equations on manifolds. Their global solvability in the class of geometric (multivalued) solutions is studied. It is established that the Cauchy problem has a unique greatest solution, and this solution is complete.