Matano, Hiroshi Nonincrease of the lap-number of a solution for a one-dimensional semilinear parabolic equation. (English) Zbl 0496.35011 J. Fac. Sci., Univ. Tokyo, Sect. I A 29, 401-441 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 152 Documents MSC: 35B40 Asymptotic behavior of solutions to PDEs 35B20 Perturbations in context of PDEs 35K55 Nonlinear parabolic equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:lap-number; pattern formation; semilinear parabolic equation; complexity of the graph of a solution; highly oscillating perturbation PDF BibTeX XML Cite \textit{H. Matano}, J. Fac. Sci., Univ. Tokyo, Sect. I A 29, 401--441 (1982; Zbl 0496.35011) OpenURL