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One-dimensional Kirchhoff equation

✍ Scribed by Witold Rzymowski

Book ID
104329453
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
116 KB
Volume
48
Category
Article
ISSN
0362-546X

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On a Model Connected with the Kirchhoff
On a Model Connected with the Kirchhoff Equation
✍ Fabio Catalano πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 144 KB

We prove a global existence result in suitable Sobolev spaces for the solution of the nonlinear Cauchy problem where n > 3 is the space dimension, the initial data are C ∞ with compact support in R n , and K z is a positive smooth function rapidly decreasing as z β†’ ∞. Our approach is based on the e