Concepedia

The Cauchy problem for operators with constant coefficient hyperbolic principal part and propagation of singularities

Seiichiro Wakabayashi

Japanese journal of mathematics · 1980 · 28 citations · 11 references

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Concepts

Abstract

2.1. Construction of solutions 2.2. Necessary conditions for well-posedness2 .3. Necessary and sufficient condition for o-well posedness 2.4. Wave front sets of solutions Appendix A.1. Procedure to determine the class of hyperbolicity in the case n3 A.2. Examples

References

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Lacunas for hyperbolic differential operators with constant coefficients I

Michael Atiyah, R. Bott, Lars Gårding · Acta Mathematica · 1970 · 260 citations · Full text

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Linear hyperbolic partial differential equations with constant coefficients

Lars Gårding · Acta Mathematica · 1951 · 228 citations · Full text

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Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients

Lars Hörmander · Communications on Pure and Applied Mathematics · 1971 · 218 citations

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