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- A_priori_estimate abstract "In the theory of partial differential equations, an a priori estimate (also called an apriori estimate or a priori bound) is an estimate for the size of a solution or its derivatives of a partial differential equation. A priori is Latin for "from before" and refers to the fact that the estimate for the solution is derived before the solution is known to exist. One reason for their importance is that if one can prove an a priori estimate for solutions of a differential equation, then it is often possible to prove that solutions exist using the continuity method or a fixed point theorem.A priori estimates were introduced and named by Sergei Natanovich Bernstein (1906, 1910), who used them to prove existence of solutions to second order nonlinear elliptic equations in the plane. Some other early influential examples of a priori estimates include the Schauder estimates given by Schauder (1934, 1937), and the estimates given by De Giorgi and Nash for second order elliptic or parabolic equations in many variables in their solution to Hilbert's nineteenth problem.".
- A_priori_estimate wikiPageExternalLink sm516.pdf.
- A_priori_estimate wikiPageExternalLink home.html.
- A_priori_estimate wikiPageID "30669047".
- A_priori_estimate wikiPageLength "3469".
- A_priori_estimate wikiPageOutDegree "11".
- A_priori_estimate wikiPageRevisionID "675187519".
- A_priori_estimate wikiPageWikiLink American_Mathematical_Society.
- A_priori_estimate wikiPageWikiLink Category:A_priori.
- A_priori_estimate wikiPageWikiLink Category:Partial_differential_equations.
- A_priori_estimate wikiPageWikiLink Continuity_method.
- A_priori_estimate wikiPageWikiLink Fixed-point_theorem.
- A_priori_estimate wikiPageWikiLink Fixed_point_theorem.
- A_priori_estimate wikiPageWikiLink Graduate_Studies_in_Mathematics.
- A_priori_estimate wikiPageWikiLink Hilberts_nineteenth_problem.
- A_priori_estimate wikiPageWikiLink Mathematische_Annalen.
- A_priori_estimate wikiPageWikiLink Method_of_continuity.
- A_priori_estimate wikiPageWikiLink Partial_differential_equation.
- A_priori_estimate wikiPageWikiLink Schauder_estimates.
- A_priori_estimate wikiPageWikiLinkText "''A priori'' estimate".
- A_priori_estimate wikiPageWikiLinkText "A priori estimate".
- A_priori_estimate wikiPageWikiLinkText "a priori estimate".
- A_priori_estimate wikiPageWikiLinkText "a priori estimates".
- A_priori_estimate wikiPageWikiLinkText "a priori".
- A_priori_estimate authorlink "Sergei Natanovich Bernstein".
- A_priori_estimate first "Sergei Natanovich".
- A_priori_estimate hasPhotoCollection A_priori_estimate.
- A_priori_estimate last "Bernstein".
- A_priori_estimate wikiPageUsesTemplate Template:Citation.
- A_priori_estimate wikiPageUsesTemplate Template:Harvs.
- A_priori_estimate year "1906".
- A_priori_estimate year "1910".
- A_priori_estimate subject Category:A_priori.
- A_priori_estimate subject Category:Partial_differential_equations.
- A_priori_estimate hypernym Estimate.
- A_priori_estimate comment "In the theory of partial differential equations, an a priori estimate (also called an apriori estimate or a priori bound) is an estimate for the size of a solution or its derivatives of a partial differential equation. A priori is Latin for "from before" and refers to the fact that the estimate for the solution is derived before the solution is known to exist.".
- A_priori_estimate label "A priori estimate".
- A_priori_estimate sameAs m.0g9y2gy.
- A_priori_estimate sameAs Q4660961.
- A_priori_estimate sameAs Q4660961.
- A_priori_estimate wasDerivedFrom A_priori_estimate?oldid=675187519.
- A_priori_estimate isPrimaryTopicOf A_priori_estimate.