Hitting probabilities for systems of non-linear stochastic heat equations in spatial dimension \(k\ge 1\)

**Keywords.**
Hitting probabilities, systems of non-linear stochastic heat equations,
spatially homogeneous Gaussian noise, Malliavin calculus.

**
AMS Classification (2000)** Primary: 60H15, 60J45; Secondary: 60H07, 60G60.

**Support**. Research supported in part by grants from the
Swiss National Science Foundation Fellowship (R.C.D.)
and the Unite States' National Science Foundation (D.K.).

**Pre/E-Prints.** This paper is available in

Robert C. Dalang, Institut de Mathématiques, Ecole Polytechinque Fédérale de Lausanne, Station 8, CH-1015 Lausanne, Switzerland, robert.dalang@epfl.ch | Davar Khoshnevisan, Department of Mathematics, The University of Utah, 155 S. 1400 E. Salt Lake City, UT 84112-0090, USA, davar@math.utah.edu | Eulalia Nualart, Institut Galilée, Université Paris 13, 93430 Villetaneuse, France, eulalia@nualart.es |

*Last Update: March 29, 2012*

© 2012 - Robert C. Dalang, Davar Khoshnevisan, and Eulalia Nualart.