Timeline for Does replacing 'local' with 'global' in the definition of viscosity sub(super)solution change the definition?
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Aug 30 at 20:48 | comment | added | Khoa Vu | @username I wonder how we can solve the analysis question by using Exercise 3.5 (and its proof) in Fathi's lecture note. Such exercise provides a smooth function dominating a given continuous function, while (in the analysis question) we are looking for a much more complicated smooth function. Thank you. | |
Jan 15, 2014 at 13:00 | comment | added | username | @lost1 Viscosity solutions are introduced first for second order problem, as it is more 'natural' in this case, and then for first order. The general theory is done for both. | |
Jan 15, 2014 at 12:51 | comment | added | lost1 | I flipped through the content page and this book seems to be interested in first order only, am I mistaken? | |
Jan 15, 2014 at 12:43 | comment | added | username | @lost1 you can quote Barles' book, for example, Guy Barles. Solutions de viscosit\´e des \´equations de Hamilton-Jacobi. Springer- Verlag, Paris, 1994. | |
Jan 15, 2014 at 12:24 | comment | added | lost1 | That would do. If i write something on this, what should i reference? In the paper i referred to, i think this was just assumed. | |
Jan 15, 2014 at 12:24 | vote | accept | lost1 | ||
Jan 15, 2014 at 12:22 | history | answered | username | CC BY-SA 3.0 |