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An Introduction To Viscosity Solutions
Nikos Katzourakis
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Description for An Introduction To Viscosity Solutions
Paperback. Series: SpringerBriefs in Mathematics. Num Pages: 135 pages, 24 black & white illustrations, 1 colour illustrations, biography. BIC Classification: PBKJ; PBKQ. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 7. Weight in Grams: 221.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
135
Condition
New
Series
SpringerBriefs in Mathematics
Number of Pages
123
Place of Publication
Cham, Switzerland
ISBN
9783319128283
SKU
V9783319128283
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for An Introduction To Viscosity Solutions
“In this small book, the author, after introducing basic and non-basic concepts of the theory of viscosity solutions for first and second order PDEs, applies the theory to two specific problems such as existence of viscosity solution for the Euler-Lagrange PDE and for the ∞-Laplacian. … The book can be certainly used as text for an advanced course and also ... Read more