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On the focusing critical semi-linear wave equation

✍ Scribed by Krieger, J; Schlag, W


Book ID
118225481
Publisher
John Hopkins University Press
Year
2007
Tongue
English
Weight
745 KB
Volume
129
Category
Article
ISSN
0002-9327

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In this work we estimate the spectrum of the linear damped wave semigroup under homogeneous Dirichlet boundary conditions by using the principal eigenvalue of an elliptic operator related to the equation. Our estimate is optimal for real eigenvalues. Then, we analyze the behavior of the estimate as