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Formation of singularities for Hamilton-Jacobi equation. I

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Publication:788186
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DOI10.3792/PJAA.59.55zbMath0531.35015OpenAlexW1977793481MaRDI QIDQ788186

Mikio Tsuji

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.55


zbMATH Keywords

uniquenessHamilton-Jacobi equationglobal solutionconvex nonlinearityformation of singularitiesmultivalued inverse


Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for nonlinear first-order PDEs (35F25)





Cites Work

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  • Piecewise smooth solutions of a single conservation law exist
  • On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
  • The Hamilton-Jacobi equation. A global approach
  • Imperfect bifurcation in the presence of symmetry
  • A regularity theorem for conservation laws
  • Hyperbolic systems of conservation laws II




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