Conley, Charles; Smoller, Joel Topological techniques in reaction-diffusion equations. (English) Zbl 0444.35005 Biological growth and spread, mathematical theories and applications, Proc. Conf., Heidelberg 1979, Lect. Notes Biomath. 38, 473-483 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 Documents MSC: 35B32 Bifurcations in context of PDEs 35B35 Stability in context of PDEs 35K55 Nonlinear parabolic equations 54H20 Topological dynamics (MSC2010) Keywords:topological techniques in reaction-diffusion equations; bifurcation of stationary solutions; reaction diffusion equations; topological invariants; Morse theory; topological dynamics; homogeneous boundary conditions; Conley’s index; Ljapunov function; stability character of positive solutions; Dirichlet boundary conditions; unstable manifold; Neumann boundary conditions Citations:Zbl 0429.00023; Zbl 0397.34056 PDF BibTeX XML OpenURL