Journal
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Volume 18, Issue 3, Pages 465-505Publisher
EUROPEAN MATHEMATICAL SOC-EMS
DOI: 10.4171/JEMS/595
Keywords
Reaction-diffusion equations; periodic media; pulsating traveling fronts; Cauchy problem; asymptotic behavior; logarithmic shift
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Funding
- NSF [DMS-1007572, DMS-0908507]
- French ANR [ANR-14-CE25-0013]
- European Research Council under the European Union's Seventh Framework Programme (FP) / ERC Grant Agreement [321186 - ReaDi]
- Investissements d'Avenir French Government program [ANR-11-IDEX-0001-02, ANR-11-LABX-0033]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1311903] Funding Source: National Science Foundation
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We extend, to parabolic equations of the KPP type in periodic media, a result of Bramson which asserts that, in the case of a spatially homogeneous reaction rate, the time lag between the position of an initially compactly supported solution and that of a traveling wave grows logarithmically in time.
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