On special Lagrangian equations

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dc.contributor.advisorYuan, Yuen_US
dc.contributor.authorWang, Dakeen_US
dc.date.accessioned2014-02-24T18:31:56Z
dc.date.available2014-02-24T18:31:56Z
dc.date.issued2014-02-24
dc.date.submitted2013en_US
dc.descriptionThesis (Ph.D.)--University of Washington, 2013en_US
dc.description.abstractIn this paper we study the special Lagrangian equation and related equations. Special Lagrangian equation originates in the special Lagrangian geometry by Harvey-Lawson [HL1]. In subcritical phases, we construct singular solutions in dimension three and higher. We also convert our counterexamples to the ones for the minimal surface system equation. In critical and supercritical phases, we derive a priori Hessian estimates in general higher dimensions (n > 3). Our unified approach leads to sharper estimates for previously known three dimensional and convex solution cases.en_US
dc.embargo.termsNo embargoen_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.otherWang_washington_0250E_12542.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1773/25220
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.subject.otherMathematicsen_US
dc.subject.othermathematicsen_US
dc.titleOn special Lagrangian equationsen_US
dc.typeThesisen_US

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