## Connecting orbits in scalar reaction diffusion equations. II: The complete solution.(English)Zbl 0699.35144

[For part I, see Dyn. Rep. 1, 57-89 (1988; Zbl 0679.35047).]
In part I the authors studied the one-dimensional reaction-diffusion equation $u_ t=u_{xx}+f(u),\quad x\in (0,1)$ with Dirichlet boundary conditions $$u(t,0)=u(t,1)=0$$, and obtained a partial answer to the question:
(Q) Given a stationary (i.e. time-independent) solution of the above problem, which other stationary solutions does it connect to?
The present paper answers completely this question by reducing the number of exclusion principles to two.
Reviewer: J.Mawhin

### MSC:

 35K57 Reaction-diffusion equations

Zbl 0679.35047
Full Text:

### References:

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