The Resource Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
Resource Information
The item Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- This dissertation is comprised of two parts. The first part, consisting of chapters 2-13, deals with issues pertaining to non-locally functional analysis. Specifically, we generalize the classical trilogy, Open Mapping Theorem, Closed Graph Theorem, and Uniform Boundedness Principle to the setting of quasi-pseudonormed groups via techniques rooted in groupoid metrization theorems. In addition, here we address issues such as completeness, separability, and pointwise convergence in environments which are considerably more general than those in the current literature. In the second part, which is embodied in chapters 14-23, we deal with topics from geometrical analysis and applications to Boundary Value Problems. Concretely, we start by discussing the geometry of pseudo-balls, then proceed to give characterization of Lipschitz domains. This culminates with the formulation and proof of a sharp version of the Boundary Point Principle extending the classical work of E. Hopf and O.A. Oleinik. Finally, the latter is used in the treatment of Boundary Value Problems
- Language
- eng
- Extent
- 1 online resource (v, 385 pages)
- Note
- Advisor: Marius Mitrea
- Label
- Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
- Title
- Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
- Language
- eng
- Summary
- This dissertation is comprised of two parts. The first part, consisting of chapters 2-13, deals with issues pertaining to non-locally functional analysis. Specifically, we generalize the classical trilogy, Open Mapping Theorem, Closed Graph Theorem, and Uniform Boundedness Principle to the setting of quasi-pseudonormed groups via techniques rooted in groupoid metrization theorems. In addition, here we address issues such as completeness, separability, and pointwise convergence in environments which are considerably more general than those in the current literature. In the second part, which is embodied in chapters 14-23, we deal with topics from geometrical analysis and applications to Boundary Value Problems. Concretely, we start by discussing the geometry of pseudo-balls, then proceed to give characterization of Lipschitz domains. This culminates with the formulation and proof of a sharp version of the Boundary Point Principle extending the classical work of E. Hopf and O.A. Oleinik. Finally, the latter is used in the treatment of Boundary Value Problems
- Cataloging source
- MUU
- http://library.link/vocab/creatorName
- Ziade, Elia
- Degree
- Ph. D.
- Dissertation note
- Thesis
- Dissertation year
- 2012.
- Government publication
- government publication of a state province territory dependency etc
- Granting institution
- University of Missouri--Columbia,
- Index
- no index present
- Literary form
- non fiction
- Nature of contents
- dictionaries
- Label
- Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
- Note
- Advisor: Marius Mitrea
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Control code
- 872569326
- Extent
- 1 online resource (v, 385 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)872569326
- Label
- Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems
- Note
- Advisor: Marius Mitrea
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier.
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent.
- Control code
- 872569326
- Extent
- 1 online resource (v, 385 pages)
- Form of item
- online
- Media category
- computer
- Media MARC source
- rdamedia.
- Media type code
-
- c
- Specific material designation
- remote
- System control number
- (OCoLC)872569326
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Topics-in-non-locally-convex-functional-analysis/SkO0HbgIJwk/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Topics-in-non-locally-convex-functional-analysis/SkO0HbgIJwk/">Topics in non-locally convex functional analysis and geometrical analysis with applications to boundary value problems</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
