【摘 要】
：
We study a reaction diffusion equation ut= uxx +f(u)(X∈[O,h(t)])with Robin boundary condition u(O,t)= bux(O,t).When f is an unbalanced bistable nonlinearity we
【机 构】
：
TongjiUniversity,China
【出 处】
：
2014年非线性偏微分方程的演化国际会议
论文部分内容阅读
We study a reaction diffusion equation ut= uxx +f(u)(X∈[O,h(t)])with Robin boundary condition u(O,t)= bux(O,t).When f is an unbalanced bistable nonlinearity we prove a trichotomy result on the long time behavior of the solutions,that is,any solution converges either t0 0(i.e.vanishing),or an active solution(i.e.spreading),or a ground state V(x-y(t))with finite or infinite shift y(t)(i.e.transition).In the last case,we show that y(t)→z for some real z when b is large,and for some A,B depending on b and f when b is small.
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