Analysis of solutions of a noncanonical Hamilton-Jacobi equation using the generalized characteristics method and the Hopf-Lax representations

作者：Lustyk Miroslaw; Janus Julian; Pytel Kudela Marzenna; Prykarpatsky Anatoliy K^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 71(10): 5084-5089.

DOI：10.1016/j.na.2009.03.031

• Noncanonical Hamilton-Jacobi equation
• Characteristics method
• Hopf-Lax representation
• Leray-Schauder type fixed point theory

The Cauchy problem for a noncanonical nonlinear Hamilton-Jacobi equation is studied using the method of generalized characteristics. The Hopf-Lax representation and a recent generalization of the Leray-Schauder fixed point theorem also are used to analyze the solutions.

• 出版日期2009-11-15