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Remarks on an elliptic equation of Kirchhoff type

✍ Scribed by T.F. Ma


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
145 KB
Volume
63
Category
Article
ISSN
0362-546X

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✍ Massimo Gobbino πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 123 KB

We investigate the evolution problem u#m("Au")Au"0, u( where H is a Hilbert space, A is a self-adjoint linear non-negative operator on H with domain D(A), and We prove that if u 3D(A), and m("Au ")O0, then there exists at least one global solution, which is unique if either m never vanishes, or m