An Alternative Proof of the Froot and Stein Theorem on Optimal Corporate Hedging Policy

2016 ◽  
Author(s):  
Harald Bogner
1990 ◽  
Vol 20 (80) ◽  
pp. 287-298 ◽  
Author(s):  
S. Eckl ◽  
J. N. Robinson

2019 ◽  
Vol VII (Issue 1) ◽  
pp. 113-129
Author(s):  
Sugeng Wahyudi ◽  
Fernando Goklas ◽  
Maria ◽  
Hersugondo Hersugondo ◽  
Rio

2010 ◽  
Vol 45 (3) ◽  
pp. 803-824 ◽  
Author(s):  
J. Barry Lin ◽  
Christos Pantzalis ◽  
Jung Chul Park

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.


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