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An introduction to viscosity solutio...
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Katzourakis, Nikos.
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An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L [Infinite]
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L [Infinite]/ by Nikos Katzourakis.
其他題名:
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L
作者:
Katzourakis, Nikos.
出版者:
Cham :Springer International Publishing : : 2015.,
面頁冊數:
xii, 123 p. :ill. (some col.), digital ;24 cm.
Contained By:
Springer eBooks
標題:
Differential equations, Partial. -
電子資源:
http://dx.doi.org/10.1007/978-3-319-12829-0
ISBN:
9783319128290 (electronic bk.)
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L [Infinite]
Katzourakis, Nikos.
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L [Infinite]
[electronic resource] /An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in Lby Nikos Katzourakis. - Cham :Springer International Publishing :2015. - xii, 123 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..
The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). For such equations, particularly for 2nd order ones, solutions generally are non-smooth and standard approaches in order to define a "weak solution" do not apply: classical, strong almost everywhere, weak, measure-valued and distributional solutions either do not exist or may not even be defined. The main reason for the latter failure is that, the standard idea of using "integration-by-parts" in order to pass derivatives to smooth test functions by duality, is not available for non-divergence structure PDE.
ISBN: 9783319128290 (electronic bk.)
Standard No.: 10.1007/978-3-319-12829-0doiSubjects--Topical Terms:
518115
Differential equations, Partial.
LC Class. No.: QA377
Dewey Class. No.: 515.353
An introduction to viscosity solutions for fully nonlinear PDE with applications to calculus of variations in L [Infinite]
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