Main Page - Revision history

MediaWiki default at 19:32, 18 October 2023

2023-10-18T19:32:15Z

← Older revision		Revision as of 14:32, 18 October 2023
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	<~~div style="background:#FFEEDD;border-style:ridge;font-size:150%;"~~>		<strong>MediaWiki has been installed.</strong>
	~~To see the contents of this wiki, start on [[starting page\|this page]]~~.

	~~For~~ the ~~impatient, there is a~~ [~~[list of equations]~~].		Consult the [https://www.mediawiki.org/wiki/Special:MyLanguage/Help:Contents User's Guide] for information on using the wiki software.
	~~</div>~~

	~~Please check the [[frequently asked questions]] including how to register and edit the content.~~		== Getting started ==
			* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Configuration_settings Configuration settings list]
	== ~~Purpose~~ ==		* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:FAQ MediaWiki FAQ]
			* [https://lists.wikimedia.org/postorius/lists/mediawiki-announce.lists.wikimedia.org/ MediaWiki release mailing list]
	~~The purpose of this~~ wiki ~~is to create a clear reference for the methods, difficulties, [[open problems~~]~~], and~~ [~~[applications]] of elliptic and parabolic nonlocal equations~~.		* [https://www.mediawiki.org/wiki/Special:MyLanguage/Localisation#Translation_resources Localise MediaWiki for your language]
			* [https://www.mediawiki.org/wiki/Special:MyLanguage/Manual:Combating_spam Learn how to combat spam on your wiki]
	~~Especially since this is a relatively new subject, it is important to clearly point out where the fundamental mathematical challenges are, and what are the applications to the equations studied~~.

	~~We would like to write a reference that is easy to read and navigate~~. ~~It should be convenient to easily find the precise assumptions for which several theorems are proved (for example Harnack inequality or $C^{1,\alpha}$ estimates)~~. ~~It would also be desirable to have some indication of the methods used in the proofs, which may be a non rigorous idea, or an analogy with a classical theorem~~.

	~~The emphasis of this wiki will be on nonlocal nonlinear (nonbananas?) equations of elliptic and parabolic type. There are several hyperbolic nonlocal equations that are described in the~~ [~~http~~://~~wiki~~.~~math~~.~~toronto.edu~~/~~DispersiveWiki~~/~~index.php~~/~~Main_Page Dispersive wiki~~].

	~~The ultimate goal of this~~ wiki ~~would be~~ to ~~prove for all equations that they are either well posed in the classical sense, or a weak solution and their possible singularities are well understood. The emphasis should then be~~ on ~~regularity results. We may also include some topics only indirectly related to regularity estimates (for example homogenization).~~

	~~We should make an effort to negate the [[myths about nonlocal equations]~~]

imported>Nestor at 16:22, 17 November 2012

2012-11-17T16:22:29Z

← Older revision		Revision as of 11:22, 17 November 2012
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	~~{{DISPLAYTITLE:<span style="display:none">{{FULLPAGENAME}}</span>}}~~

	<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">		<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">
	To see the contents of this wiki, start on [[starting page\|this page]].		To see the contents of this wiki, start on [[starting page\|this page]].

imported>Nestor at 16:22, 17 November 2012

2012-11-17T16:22:16Z

← Older revision		Revision as of 11:22, 17 November 2012
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			{{DISPLAYTITLE:<span style="display:none">{{FULLPAGENAME}}</span>}}

	<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">		<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">
	To see the contents of this wiki, start on [[starting page\|this page]].		To see the contents of this wiki, start on [[starting page\|this page]].

imported>Nestor at 16:16, 17 November 2012

2012-11-17T16:16:25Z

← Older revision		Revision as of 11:16, 17 November 2012
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	~~{{DISPLAYTITLE:<span style="display:none">{{FULLPAGENAME}}</span>}}~~

	<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">		<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">
	To see the contents of this wiki, start on [[starting page\|this page]].		To see the contents of this wiki, start on [[starting page\|this page]].

imported>Nestor at 16:16, 17 November 2012

2012-11-17T16:16:12Z

← Older revision		Revision as of 11:16, 17 November 2012
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			{{DISPLAYTITLE:<span style="display:none">{{FULLPAGENAME}}</span>}}

	<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">		<div style="background:#FFEEDD;border-style:ridge;font-size:150%;">
	To see the contents of this wiki, start on [[starting page\|this page]].		To see the contents of this wiki, start on [[starting page\|this page]].

imported>Luis: /* Purpose */

2012-04-25T21:25:58Z

Purpose

← Older revision		Revision as of 16:25, 25 April 2012
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	== Purpose ==		== Purpose ==

	The purpose of this wiki is to create a clear reference for the methods, difficulties, [[open problems]], and applications of elliptic and parabolic nonlocal equations.		The purpose of this wiki is to create a clear reference for the methods, difficulties, [[open problems]], and [[applications]] of elliptic and parabolic nonlocal equations.

	Especially since this is a relatively new subject, it is important to clearly point out where the fundamental mathematical challenges are, and what are the applications to the equations studied.		Especially since this is a relatively new subject, it is important to clearly point out where the fundamental mathematical challenges are, and what are the applications to the equations studied.

imported>Luis at 17:28, 25 April 2012

2012-04-25T17:28:04Z

← Older revision		Revision as of 12:28, 25 April 2012
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	The ultimate goal of this wiki would be to prove for all equations that they are either well posed in the classical sense, or a weak solution and their possible singularities are well understood. The emphasis should then be on regularity results. We may also include some topics only indirectly related to regularity estimates (for example homogenization).		The ultimate goal of this wiki would be to prove for all equations that they are either well posed in the classical sense, or a weak solution and their possible singularities are well understood. The emphasis should then be on regularity results. We may also include some topics only indirectly related to regularity estimates (for example homogenization).

	It would be desirable if the most important topics get a central role in the wiki. This is hard to do for many reasons, including that there is not always a consensus on what the most important results are. Depending on how things go, the wiki might have to take a position some day about what the priority topics are.

	We should make an effort to negate the [[myths about nonlocal equations]]		We should make an effort to negate the [[myths about nonlocal equations]]

imported>Luis at 17:22, 25 April 2012

2012-04-25T17:22:09Z

← Older revision		Revision as of 12:22, 25 April 2012
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	To see the contents of this wiki, start on [[starting page\|this page]].		To see the contents of this wiki, start on [[starting page\|this page]].

	~~There~~ is ~~also~~ a ~~list of topics in the~~ [[~~Mwiki:Current events\|"to do"~~ list]].		For the impatient, there is a [[list of equations]].
	</div>		</div>

imported>Luis at 17:21, 25 April 2012

2012-04-25T17:21:21Z

@@ Line 5: / Line 5: @@
 </div>
+Please check the [[frequently asked questions]] including how to register and edit the content.
 == Purpose ==
@@ Line 22: / Line 22: @@
 We should make an effort to negate the [[myths about nonlocal equations]]

imported>Luis at 16:50, 7 February 2012

2012-02-07T16:50:02Z

← Older revision		Revision as of 11:50, 7 February 2012
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	== Purpose ==		== Purpose ==

	The purpose of this wiki is to ~~stimulate research in elliptic and parabolic nonlocal equations~~, ~~and to advertise the most interesting~~ [[open problems]] ~~in the area~~.		The purpose of this wiki is to create a clear reference for the methods, difficulties, [[open problems]], and applications of elliptic and parabolic nonlocal equations.

	Especially since this is a relatively new subject, it is important to clearly point out where the fundamental mathematical challenges are, and what are the applications to the equations studied.		Especially since this is a relatively new subject, it is important to clearly point out where the fundamental mathematical challenges are, and what are the applications to the equations studied.