In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficien...In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. MR Subject Classification 35B40 - 35K55 Keywords nonnegative solution - blow up - nonlinear boundary conditions - parabolic system Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc).展开更多
基金Supported by the Natural Science Foundation of the Education Department of Anhui Province( 2 0 0 1 kj0 38zc)
文摘In this paper the nonnegative classical solutions of a parabolic system with nonlinear boundary conditions are discussed. The existence and uniqueness of a nonnegative classical solution are proved. And some sufficient conditions to ensure the global existence and nonexistence of nonnegative classical solution to this problem are given. MR Subject Classification 35B40 - 35K55 Keywords nonnegative solution - blow up - nonlinear boundary conditions - parabolic system Supported by the Natural Science Foundation of the Education Department of Anhui Province (2001kj038zc).
