Analysis of some deterministic and stochastic evolution equations with solutions taking values in an infinite dimensional Hilbert manifold

The objective of this thesis is threefold: Firstly, to deal with the deterministic problem consisting of non-linear heat equation of gradient type. It comes out as projecting the Laplace operator with Dirichlet boundary conditions and polynomial nonlinearly of degree 2n-1, onto the tangent space of...

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Bibliographic Details
Main Author: Hussain, Javed
Other Authors: Brzezniak, Zdzislaw
Published: University of York 2015
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.677378