Abstract
This Chapter 6 and the next Chapter 7 are devoted to the proof of Theorem 1.2. In this chapter we study the operator Ap, and prove a priori estimates for the operator Ap − λI (Theorem 6.3) which will play a fundamental role in the next chapter. In the proof we make good use of Agmon’s method (Proposition 6.4). This is a technique of treating a spectral parameter λ as a second-order, elliptic differential operator of an extra variable and relating the old problem to a new problem with the additional variable
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© 2009 Springer-Verlag Berlin Heidelberg
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Taira, K. (2009). A Priori Estimates. In: Boundary Value Problems and Markov Processes. Lecture Notes in Mathematics(), vol 1499. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01677-6_6
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DOI: https://doi.org/10.1007/978-3-642-01677-6_6
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01676-9
Online ISBN: 978-3-642-01677-6
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