Premium
The existence and regularity of solutions to the non‐linear equation of flotating water
Author(s) -
Sidz Leszek
Publication year - 1993
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.1670160804
Subject(s) - mathematics , contraction (grammar) , nonlinear system , argument (complex analysis) , contraction mapping , operator (biology) , mathematical analysis , contraction principle , fixed point theorem , medicine , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
The existence of solutions to the nonlinear equations including the equation of flotating water is proved using the subellipticity of an operator in the equation and the contraction argument. Moreover a regularity result is given.