Yan, Kan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2013. / Includes bibliographical references (leaves 64-[66]). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstracts also in Chinese.

Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-02-22Bitstream added on 2014-06-13T19:48:31Z : No. of bitstreams: 1 amaral_js_me_sjrp.pdf: 356567 bytes, checksum: 85048dd943d0aa273e0a6151db09d116 (MD5) / SejamAum operador fechado e densamente definido em um espa¸co de BanachX ef∈L 1 ([0,τ];X). O objetivo deste trabalho e apresentar uma condição necessária e suficiente para a existência de solução weak, dada por J. Ball, do problema { d dt u(t) = Au(t) +f(t), t > 0 u(0) = x. Neste caso, a solução weak coincide com a solução mild (dada pela Fórmula da Variação das Constantes). Como aplicação, estudaremos um problema de valor inicial e de fronteira para equações parabólicas de segunda ordem e concluiremos que sua solução fraca, no sentido usual de EDP’s, coincide com a solução mild do problema de Cauchy abstrato associado / LetAbe a closed linear operator densely defined on a Banach spaceXand f∈L 1 ([0,τ];X). The purpose of this work is to present a necessary and sufficient condition to the existence of weak solution, introduced by J. Ball, for the problem { d dt u(t) = Au(t) +f(t), t > 0 u(0) = x. In this case, the weak solution coincides with the mild solution (given by the Variation of the Constants Formula) As an application we study an initial boundary value problem for a second order parabolic and conclude that its weak solution, coincides with the mild solution of the associated Abstract Cauchy Problem

Guo Zhenhua. / "June 2003." / Thesis (Ph.D.)--Chinese University of Hong Kong, 2003. / Includes bibliographical references (p. 79-84). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese.

Thesis (Ph. D.)--University of Hong Kong, 2007. / Title proper from title frame. Also available in printed format.

Thesis (MSc. (Natural and Agricultural Sciences)) -- University of Pretoria, 2009. / Summary in English. Includes bibliographical references (p. 125-126).

Thesis (doctoral)--Friedrich-Wilhelms-Universität zu Berlin, 1910. / Published also as: Journal für die reine und angewandte Mathematik, Bd. 139, Heft 1. Vita.

Thesis (Ph.D.)--University of Wyoming, 2007. / Title from PDF title page (viewed on June 17, 2009). Includes bibliographical references (p. 91-97).

Thesis (M. Phil.)--Hong Kong University of Science and Technology, 2003. / Includes bibliographical references (leaves 56-58). Also available in electronic version. Access restricted to campus users.

published_or_final_version / abstract / Mechanical Engineering / Master / Master of Philosophy

published_or_final_version / Mathematics / Master / Master of Philosophy