1概述肺癌是最常见的恶性肿瘤之一,在世界各地,肺癌均居恶性肿瘤死亡构成比的第一位,其发病率和死亡率仍在不断升高。据世界卫生组织（World Health Organization,WHO）下属的国际癌症研究机构（International Agency for Research on C...1概述肺癌是最常见的恶性肿瘤之一,在世界各地,肺癌均居恶性肿瘤死亡构成比的第一位,其发病率和死亡率仍在不断升高。据世界卫生组织（World Health Organization,WHO）下属的国际癌症研究机构（International Agency for Research on Cancer,IARC）出版的GLOBOCAN 2012估计：全世界肺癌新发病例1 8 2.5万（男性124.2万,女性58.3万）.展开更多
We consider the blow-up solutions to the following coupled nonlinear Schr¨odinger equations{iu_(t)+Δu+(|u|^(2p)+|u|^(p−1)|v|^(p+1))u=0,iv_(t)+Δv+(|v|^(2p)+|v|^(p−1)|u|^(p+1))v=0,u(0,x)=u0(x),v(0,x)=v0(x),x 2 R ...We consider the blow-up solutions to the following coupled nonlinear Schr¨odinger equations{iu_(t)+Δu+(|u|^(2p)+|u|^(p−1)|v|^(p+1))u=0,iv_(t)+Δv+(|v|^(2p)+|v|^(p−1)|u|^(p+1))v=0,u(0,x)=u0(x),v(0,x)=v0(x),x 2 R N,t0.On the basis of the conservation of mass and energy,we establish two sufficient conditions to obtain the existence of a blow-up for radially symmetric solutions.These results improve the blow-up result of Li and Wu[10]by dropping the hypothesis of finite variance((|x|u_(0),|x|v_(0))∈ L^(2)(R^(N))×L^(2)(R^(N))).展开更多
文摘1概述肺癌是最常见的恶性肿瘤之一,在世界各地,肺癌均居恶性肿瘤死亡构成比的第一位,其发病率和死亡率仍在不断升高。据世界卫生组织（World Health Organization,WHO）下属的国际癌症研究机构（International Agency for Research on Cancer,IARC）出版的GLOBOCAN 2012估计：全世界肺癌新发病例1 8 2.5万（男性124.2万,女性58.3万）.
基金the National Natural Science Foundation of China(11771314)the Sichuan Science and Technology Program(2022JDTD0019)the Guizhou Province Science and Technology Basic Project(Qian Ke He Basic[2020]1Y011)。
文摘We consider the blow-up solutions to the following coupled nonlinear Schr¨odinger equations{iu_(t)+Δu+(|u|^(2p)+|u|^(p−1)|v|^(p+1))u=0,iv_(t)+Δv+(|v|^(2p)+|v|^(p−1)|u|^(p+1))v=0,u(0,x)=u0(x),v(0,x)=v0(x),x 2 R N,t0.On the basis of the conservation of mass and energy,we establish two sufficient conditions to obtain the existence of a blow-up for radially symmetric solutions.These results improve the blow-up result of Li and Wu[10]by dropping the hypothesis of finite variance((|x|u_(0),|x|v_(0))∈ L^(2)(R^(N))×L^(2)(R^(N))).
