### Abstract

We prove existence of solutions for parabolic initial value problems ∂_{t}u = △u + f(u) on R^{N}, where f : R → R is a bounded, but possibly discontinuous function.

Original language | English |
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Pages (from-to) | 1-9 |

Number of pages | 9 |

Journal | Electronic Journal of Qualitative Theory of Differential Equations |

Publication status | Published - Jan 25 2002 |

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### ASJC Scopus subject areas

- Analysis

### Cite this

**An existence theorem for parabolic equations on R ^{N} with discontinuous nonlinearity.** / Hofbauer, Josef; Simon, L. P.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - An existence theorem for parabolic equations on RN with discontinuous nonlinearity

AU - Hofbauer, Josef

AU - Simon, L. P.

PY - 2002/1/25

Y1 - 2002/1/25

N2 - We prove existence of solutions for parabolic initial value problems ∂tu = △u + f(u) on RN, where f : R → R is a bounded, but possibly discontinuous function.

AB - We prove existence of solutions for parabolic initial value problems ∂tu = △u + f(u) on RN, where f : R → R is a bounded, but possibly discontinuous function.

UR - http://www.scopus.com/inward/record.url?scp=3042785863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042785863&partnerID=8YFLogxK

M3 - Article

SP - 1

EP - 9

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

SN - 1417-3875

ER -