Abstract
We consider linear partial differential equations with polynomial coefficients and prove algorithmic undecidability of the following problem: to test whether a given equation of considered form has no more than one solution that is analytic on a domain and that satisfies some fixed boundary conditions. It is assumed that a polynomial which vanishes at each point of the domain boundary is known.
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Paramonov, S.V. (2014). On Testing Uniqueness of Analytic Solutions of PDE with Boundary Conditions. In: Gerdt, V.P., Koepf, W., Seiler, W.M., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2014. Lecture Notes in Computer Science, vol 8660. Springer, Cham. https://doi.org/10.1007/978-3-319-10515-4_25
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DOI: https://doi.org/10.1007/978-3-319-10515-4_25
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10514-7
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