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Extra resources for Communications In Mathematical Physics - Volume 293
Let φ solve the inhomogeneous wave equation child manifold. Then we have E[φ]( + R ) + sup v≥0 ˜ E[φ](v) ˜ + φ 2 L E0 E[φ]( gφ − R) + = f on the Schwarzsf 2 L E 0∗ . 13) Here we made no effort to optimize the weights at r = 3M and r = ∞. This is done later in the paper. On the other hand the above estimate follows from a relatively simple application of the classical positive commutator method. The advantage of having even such a weaker estimate is that it is sufficient in order to allow localization near the interesting regions r = 3M and r = ∞, which can then be studied in greater detail using specific tools.
57(7), 841–876 (2004) 36. : On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. Japan J. Appl. Math. 2(1), 17–25 (1985) 37. : Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Mem. Amer. Math. Soc. 175(826), vi+107 (2005) 36 J. Humpherys, O. Lafitte, K. Zumbrun 38. : Eigenvalues, and instabilities of solitary waves. Philos. Trans. Roy. Soc. London Ser. A 340(1656), 47–94 (1992) 39. : An Evans function approach to spectral stability of small-amplitude shock profiles.
25) is hyperbolic in nature. 26). Case 3. λ τ .