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Whitney singularities of solutions of partial differential equations

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Publication:1842250
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DOI10.1016/0393-0440(94)00013-TzbMath0858.35003OpenAlexW1967114610WikidataQ115363114 ScholiaQ115363114MaRDI QIDQ1842250

Alexander Givental

Publication date: 18 April 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)00013-t


zbMATH Keywords

wave propagationintegral manifoldsCartan distributionmultiple-valued solutionsWhitney singularities


Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Geometric optics (78A05)


Related Items

Singularities of algebraic differential equations ⋮ Singularities of tangent surfaces to directed curves ⋮ On the plane into plane mappings of hydrodynamic type. Parabolic case



Cites Work

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  • Normal forms of the degrees of a volume form
  • Singular Lagrangian manifolds and their Lagrangian maps
  • Varieties of polynomials having a root of fixed comultiplicity, and the generalized Newton equation
  • Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
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