Does anybody know if one could characterize the boundary blow-up solution to PDE in the measure framework?

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James F Peters

This is a good question.

Boundary blow-up in finite time is considered in

A. Ulikowska, Structured Population Models in Metric Spaces, PhD thesis, Warsaw University, 2013:

https://depotuw.ceon.pl/bitstream/handle/item/388/Rozprawa.pdf?sequence=1

More to the point, see

C. La Chioma, Integro-Differential Problems..., Ph.D. thesis, 2003:

http://www1.mat.uniroma1.it/ricerca/dottorato/TESI/ARCHIVIO/lachiomaclaudia.pdf

See Theorem 3.1.15, which applies Perron's method. Another good place to check in this thesis is Lemma 4.2.3, page 94.

Chen Huyuan

Thank you very much! It would be very helpful!

Huyuan