Details
| Original language | English |
|---|---|
| Pages (from-to) | 265-272 |
| Number of pages | 8 |
| Journal | Quarterly of applied mathematics |
| Volume | 79 |
| Issue number | 2 |
| Early online date | 14 Sept 2020 |
| Publication status | Published - Jun 2021 |
Abstract
The existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time interval of existence, the latter being given a priori. The proof relies on Schauder’s fixed point theorem and semigroup theory
Keywords
- existence of global solutions, nonlocal in time, Semilinear heat equation
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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In: Quarterly of applied mathematics, Vol. 79, No. 2, 06.2021, p. 265-272.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Strong Solutions To A Nonlocal-In-Time Semilinear Heat Equation
AU - Walker, Christoph
PY - 2021/6
Y1 - 2021/6
N2 - The existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time interval of existence, the latter being given a priori. The proof relies on Schauder’s fixed point theorem and semigroup theory
AB - The existence of strong solutions to a nonlocal semilinear heat equation is shown. The main feature of the equation is that the nonlocal term depends on the unknown on the whole time interval of existence, the latter being given a priori. The proof relies on Schauder’s fixed point theorem and semigroup theory
KW - existence of global solutions
KW - nonlocal in time
KW - Semilinear heat equation
UR - http://www.scopus.com/inward/record.url?scp=85102478523&partnerID=8YFLogxK
U2 - 10.1090/qam/1579
DO - 10.1090/qam/1579
M3 - Article
AN - SCOPUS:85102478523
VL - 79
SP - 265
EP - 272
JO - Quarterly of applied mathematics
JF - Quarterly of applied mathematics
SN - 0033-569X
IS - 2
ER -