Three kinds of initial-value problems of the Harry-Dym equation are considered. Theexistence and regularity of solution are proved. Some special solutions are given. Severalexamples show that different initial-value p...Three kinds of initial-value problems of the Harry-Dym equation are considered. Theexistence and regularity of solution are proved. Some special solutions are given. Severalexamples show that different initial-value problems are related to K. D. V. equation onthe whole line, the half line or the finite interval respectively.展开更多
文摘Three kinds of initial-value problems of the Harry-Dym equation are considered. Theexistence and regularity of solution are proved. Some special solutions are given. Severalexamples show that different initial-value problems are related to K. D. V. equation onthe whole line, the half line or the finite interval respectively.