Abstract
This Chap. 10 and the next Chap. 11 are devoted to the proof of Theorem 1.3. In this chapter we study the operator A P , and prove estimate (1.2) for the operator A P — λI (Theorem 10.3). Once again Agmon’s method plays an important role in the proof of estimate (1.2) (Proposition 10.4) just as in Chap. 8, but we replace the differential operator A−λ, λ = r 2 e iϑ, −π < ϑ < π, by the differential operator \(\tilde \Lambda \left( \vartheta \right) = A + {e^{i\vartheta }}{\partial ^2}/\partial {y^2}\)
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© 2004 Springer-Verlag Berlin Heidelberg
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Taira, K. (2004). A Priori Estimates. In: Semigroups, Boundary Value Problems and Markov Processes. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09857-8_10
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DOI: https://doi.org/10.1007/978-3-662-09857-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07371-7
Online ISBN: 978-3-662-09857-8
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