【摘 要】
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The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R × RN:v{(e)tu-△xu+b·▽xu+au+V(t,x)v=Hv(t,x,u
【机 构】
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Department of Mathematics,Institute of Mathematics
论文部分内容阅读
The authors study the existence of homoclinic type solutions for the following system of diffusion equations on R × RN:v{(e)tu-△xu+b·▽xu+au+V(t,x)v=Hv(t,x,u,v),-(e)tv-△xv-b·▽xv+av+V(t,x)u=Hu(t,x,u,v),where z = (u, v): R × RN → Rm × Rm, a ＞ 0, b = (b1,… , bN) is a constant vector and V ∈ C(R × RN, R), H ∈ C1 (R × RN × R2m, R). Under suitable conditions on V(t, x) and the nonlinearity for H(t,x,z), at least one non-stationary homoclinic solution with least energy is obtained.
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