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On an elliptic equation of Kirchhoff-type with a potential asymptotically linear at infinity

✍ Scribed by Ahmed Bensedik; Mohammed Bouchekif


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
457 KB
Volume
49
Category
Article
ISSN
0895-7177

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We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.