Further regularity of solutions for almost cubic NLS equation

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Eden, Alp,
dc.contributor.author	Demirbaş, Seçkin.
dc.date.accessioned	2023-03-16T11:21:36Z
dc.date.available	2023-03-16T11:21:36Z
dc.date.issued	2010.
dc.description.abstract	This thesis consists of two major parts. In the rst one, we try to give the preliminary local well-posedness results for the ACNLS, and L2 -H1 regularity result which is an easy and straightforward consequence of the equation, since the norm of the gradientof a function can be estimated by di erence quotients. In the second part, we prove some regularity results for ACNLS. First, we prove Hs local well-posedness, where the continuous dependence is weakened; and an improvement of it by obtaining the continuous dependence with an additional condition. At the end, we prove local Xs;b local existence result using Banach xed point theorem, where the interval of existence is not taken to be maximal. The interval depends closely on the arguments of the high-low frequency decomposition.
dc.format.extent	30cm.
dc.format.pages	viii, 48 leaves;
dc.identifier.other	MATH 2010 D46
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15253
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2010.
dc.relation	Includes appendices.
dc.relation	Includes appendices.
dc.subject.lcsh	Schrödinger equation.
dc.title	Further regularity of solutions for almost cubic NLS equation

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