WebSep 1, 1984 · The problem of asymptotic behavior of solutions of an nth order linear differential equation is reconsidered, and a result obtained by Hartman and Wintner under integral smallness conditions on ... WebNov 5, 2024 · On the Smallness Condition in Linear Inviscid Damping: Monotonicity and Resonance Chains Yu Deng, Christian Zillinger We consider the linearized Euler equations …
A Smallness Condition Ensuring Boundedness in a Two …
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Show that convolution of two measurable functions is well-defined
WebJun 6, 2015 · Under the critical condition χα − ξ γ = 0, we show that the system possesses a unique global solution that is uniformly bounded in time. Moreover, when n = 2, by some appropriate smallness ... WebAug 31, 2006 · We prove local existence in arbitrary space dimension N without any smallness condition on the initial data. ACKNOWLEDGMENTS. I wish to express my deepest gratitude to my Thesis Advisor Anne de Bouard for all the helpful and fruitful discussions we had and her valuable guidance during the preparation of this work. WebSep 2, 2015 · So you can think of compactness as a strengthening of completeness in which a certain smallness condition (namely, total boundedness) is added to the mix. Okay, so why bother with this weird mix of completeness and smallness? The nice thing about compactness is that its a topological property. Share. Cite. Follow answered Sep 2, 2015 … first signs of agriculture