We considered the Cauchy problem for the fractional wave-diffusion equation D^αu-△｜u｜^m-1u＋（-△）^β/2D^γ｜u｜^l-1u=h（x,t）｜u｜^p＋f（x,t）with given initial data and where p〉1,1〈α〈2,0〈β〈2,0〈γ〈1.Non...We considered the Cauchy problem for the fractional wave-diffusion equation D^αu-△｜u｜^m-1u＋（-△）^β/2D^γ｜u｜^l-1u=h（x,t）｜u｜^p＋f（x,t）with given initial data and where p〉1,1〈α〈2,0〈β〈2,0〈γ〈1.Nonexistence results and necessary conditions for global existence are established by means of th, test function method. This results extend previous works.展开更多
文摘We considered the Cauchy problem for the fractional wave-diffusion equation D^αu-△｜u｜^m-1u＋（-△）^β/2D^γ｜u｜^l-1u=h（x,t）｜u｜^p＋f（x,t）with given initial data and where p〉1,1〈α〈2,0〈β〈2,0〈γ〈1.Nonexistence results and necessary conditions for global existence are established by means of th, test function method. This results extend previous works.
