with Neumann boundary conditions. We show that the solutions of the model are bounded all the time for each pair of initial values if r>p-1 and rq>(p-1)(s-1), and that they will blow up in a finite time for some...with Neumann boundary conditions. We show that the solutions of the model are bounded all the time for each pair of initial values if r>p-1 and rq>(p-1)(s-1), and that they will blow up in a finite time for some initial values if either r>p-1 with rq<(p-1)(s+1) or r<p-1.展开更多
F. Treves studied an interesting example and proved that the Cauchy problem has non-trivial solutions if and only if p=1,3,5,…. Wang Guangyin et al. proved the discrete phenomena in existence in the Canchy problem an...F. Treves studied an interesting example and proved that the Cauchy problem has non-trivial solutions if and only if p=1,3,5,…. Wang Guangyin et al. proved the discrete phenomena in existence in the Canchy problem and the Goursat problem of the Treves equation. Wang Chuanfang studied the discrete phenomena in existence in the mixed problem of the first boundary. Now we shall discuss the mixed problem of the second boundary.展开更多
文摘with Neumann boundary conditions. We show that the solutions of the model are bounded all the time for each pair of initial values if r>p-1 and rq>(p-1)(s-1), and that they will blow up in a finite time for some initial values if either r>p-1 with rq<(p-1)(s+1) or r<p-1.
文摘F. Treves studied an interesting example and proved that the Cauchy problem has non-trivial solutions if and only if p=1,3,5,…. Wang Guangyin et al. proved the discrete phenomena in existence in the Canchy problem and the Goursat problem of the Treves equation. Wang Chuanfang studied the discrete phenomena in existence in the mixed problem of the first boundary. Now we shall discuss the mixed problem of the second boundary.
