Author: Benjamin Perskaas

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AUTHOR

Benjamin Perskaas

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On the existence of solutions to the higher order : Korteweg de Vries-Burgers equation

2019

Master's thesis Mathematics MA503 - University of Agder 2019 Vi studerer eksistensen av løsninger til den høyere ordens Korteweg deVries-Burgers likningenut+ 2uux−uxx+uxxxxx= 0. Ved ̊a jobbe medestimater i Sobolev rom finner vi at det eksisterer unik løsning i SobolevrommetHsfors >1/2. Ved ̊a bruke det relativt modderne Bourgainrommet klarer vi ̊a redusere denne verdien betraktelig, og vi viser at deteksisterer løsninger iHsfors >−2.

MA503VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410

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