# Blow-up behavior in nonlocal vs local heat equations

Banach Center Publications (2000)

- Volume: 52, Issue: 1, page 221-226
- ISSN: 0137-6934

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topSouplet, Philippe. "Blow-up behavior in nonlocal vs local heat equations." Banach Center Publications 52.1 (2000): 221-226. <http://eudml.org/doc/209060>.

@article{Souplet2000,

abstract = {We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.},

author = {Souplet, Philippe},

journal = {Banach Center Publications},

keywords = {asymptotic behavior; boundary behavior; nonlinear parabolic equations; blow-up profiles; nonlocal source; finite time blow-up; nonlocal nonlinearities; blow-up sets, rates and profiles},

language = {eng},

number = {1},

pages = {221-226},

title = {Blow-up behavior in nonlocal vs local heat equations},

url = {http://eudml.org/doc/209060},

volume = {52},

year = {2000},

}

TY - JOUR

AU - Souplet, Philippe

TI - Blow-up behavior in nonlocal vs local heat equations

JO - Banach Center Publications

PY - 2000

VL - 52

IS - 1

SP - 221

EP - 226

AB - We present some recent results on the blow-up behavior of solutions of heat equations with nonlocal nonlinearities. These results concern blow-up sets, rates and profiles. We then compare them with the corresponding results in the local case, and we show that the two types of problems exhibit "dual" blow-up behaviors.

LA - eng

KW - asymptotic behavior; boundary behavior; nonlinear parabolic equations; blow-up profiles; nonlocal source; finite time blow-up; nonlocal nonlinearities; blow-up sets, rates and profiles

UR - http://eudml.org/doc/209060

ER -

## References

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