scholarly journals Differential Games and Directional Derivatives of Viscosity Solutions of Isaacs’ Equations II

1986 ◽  
Vol 24 (5) ◽  
pp. 1086-1089 ◽  
Author(s):  
P. -L. Lions ◽  
P. E. Souganidis
Keyword(s):  
Differential Games ◽  
Viscosity Solutions ◽  
Directional Derivatives ◽  
Isaacs Equations ◽  
Derivatives Of

On second-order directional derivatives of value functions

Optimization ◽  
2013 ◽  
Vol 64 (2) ◽  
pp. 389-407 ◽  
Author(s):  
L. Minchenko ◽  
A. Tarakanov
Keyword(s):  
Second Order ◽  
Directional Derivatives ◽  
Value Functions ◽  
Derivatives Of

A Method of Solving a Class of CIV Boundary Value Problems

1992 ◽  
Vol 35 (3) ◽  
pp. 371-375
Author(s):  
Nezam Iraniparast
Keyword(s):  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Boundary Value ◽  
Directional Derivatives ◽  
Derivatives Of

AbstractA method will be introduced to solve problems utt — uss = h(s, t), u(t,t) - u(1+t,1 - t), u(s,0) = g(s), u(1,1) = 0 and for (s, t) in the characteristic triangle R = {(s,t) : t ≤ s ≤ 2 — t, 0 ≤ t ≤ 1}. Here represent the directional derivatives of u in the characteristic directions e1 = (— 1, — 1) and e2 = (1, — 1), respectively. The method produces the symmetric Green's function of Kreith [1] in both cases.

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