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On degenerate diffusion with very strong absorption
Author(s) -
Kawohl Bernhard,
Kersner Robert
Publication year - 1992
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670150703
Subject(s) - degenerate energy levels , mathematics , diffusion , absorption (acoustics) , quenching (fluorescence) , diffusion equation , mathematical analysis , pure mathematics , mathematical physics , physics , thermodynamics , quantum mechanics , fluorescence , optics , economy , economics , service (business)
Abstract We prove the existence of weak global solutions to the degenerate diffusion equation (1) with singular absorption term. Moreover we investigate the regularity up to the quenching time and we show by means of explicit solutions that our regularity results are optimal.