Uniqueness of Solutions of Partial Differential Equations when the Initial Surface is Characteristic at a Point

DOI10.2307/2043597zbMath0513.35055OpenAlexW4244212287MaRDI QIDQ3658434

Letitia J. Korbly

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043597

zbMATH Keywords

uniquenessCauchy problemcharacteristic initial surface

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (2)

Uniqueness in the characteristic Cauchy problem under a convexity condition ⋮ Explicit solutions for a characteristic Cauchy problem

Cites Work

• On a class of pseudodifferential operators with double characteristics
• Discrete Phenomena in Uniqueness in the Cauchy Problem
• An Example in the Solvability Theory of Linear PDE's
• On a class of systems of pseudodifferential equations with double characteristics
• Cauchy problems with characteristic initial hypersurface
• Concatenations of second‐order evolution equations applied to local solvability and hypoellipticity
• The Cauchy Problem for a Hyperbolic Second Order Equation with Data on the Parabolic Line
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