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Maximal domains of solutions for analytic quasilinear differential equations of first order
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- Authors
- Issue Date
- 2022-11
- Publisher
- 대한수학회
- Citation
- 대한수학회지, Vol.59 No.6, pp.1171-1184
- Abstract
- We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equa-tions of first order for a scalar function. By making use of the first inte-grals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.
- ISSN
- 0304-9914
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