Generalized 1D Jorgens theorem

作者：Gorka Przemyslaw^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2010, 72(6): 2852-2858.

DOI：10.1016/j.na.2009.11.028

• Wave equation
• Existence of solution
• Jorgens theorem

We study the Cauchy problem for a 1D nonlinear wave equation on R. The nonlinearity can depend on the unknown function and its first order spatial derivative. Using the fixed point theorem we prove the existence of a classical solution. Moreover, the existence of periodic and almost periodic solutions are shown.

• 出版日期2010-3-15