In this note, we verify the conjecture of Barron, Evans and Jensen [3] regarding the characterization of viscosity solutions of general Aronsson equations in terms of the properties of associated forward and backwards Hamilton-Jacobi flows. A special case of this result is analogous to the characterization of infinity harmonic functions in terms of convexity and concavity of the functions and , respectively.
@article{ASNSP_2007_5_6_1_1_0, author = {Juutinen, Petri and Saksman, Eero}, title = {Hamilton-Jacobi flows and characterization of solutions of {Aronsson} equations}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {1--13}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 6}, number = {1}, year = {2007}, mrnumber = {2341511}, zbl = {1150.35017}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_2007_5_6_1_1_0/} }
TY - JOUR AU - Juutinen, Petri AU - Saksman, Eero TI - Hamilton-Jacobi flows and characterization of solutions of Aronsson equations JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2007 SP - 1 EP - 13 VL - 6 IS - 1 PB - Scuola Normale Superiore, Pisa UR - http://archive.numdam.org/item/ASNSP_2007_5_6_1_1_0/ LA - en ID - ASNSP_2007_5_6_1_1_0 ER -
%0 Journal Article %A Juutinen, Petri %A Saksman, Eero %T Hamilton-Jacobi flows and characterization of solutions of Aronsson equations %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2007 %P 1-13 %V 6 %N 1 %I Scuola Normale Superiore, Pisa %U http://archive.numdam.org/item/ASNSP_2007_5_6_1_1_0/ %G en %F ASNSP_2007_5_6_1_1_0
Juutinen, Petri; Saksman, Eero. Hamilton-Jacobi flows and characterization of solutions of Aronsson equations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 6 (2007) no. 1, pp. 1-13. http://archive.numdam.org/item/ASNSP_2007_5_6_1_1_0/
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