Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one
Date
2006-01-24
Authors
Englander, Janos
Simon, Peter L.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this article, we consider a semilinear elliptic equations of the form ∆u + ƒ(u) = 0, where ƒ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in (0, 1). The significance of this result in probability theory is also discussed.
Description
Keywords
KPP-equation, Semilinear elliptic equations, Positive bounded solutions, Branching Brownian-motion
Citation
Engländer, J., & Simon, P. L. (2006). Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. <i>Electronic Journal of Differential Equations, 2006</i>(09), pp. 1-6.
Rights
Attribution 4.0 International