Abstract
This Chapter 8 and the next Chapter 9 are devoted to the proof of Theorem 1.3 and Theorem 1.4. In this chapter we prove part (i) of Theorem 1.3. In the proof we make use of Sobolev’s imbedding theorems (Theorems 8.1 and 8.2) and a λ-dependent localization argument due to Masuda [Ma] (cf. Lemma 8.4) in order to adjust estimate
Keywords
- Positive Constant
- Sobolev Space
- Bounded Domain
- Unique Function
- Closed Subspace
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© 2009 Springer-Verlag Berlin Heidelberg
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Taira, K. (2009). Proof of Theorem 1.3 - Part (i). 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_8
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DOI: https://doi.org/10.1007/978-3-642-01677-6_8
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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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