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On measures connected with the Cauchy equation

✍ Scribed by Marek Kuczma; Jaroslav Smítal


Publisher
Springer
Year
1976
Tongue
English
Weight
372 KB
Volume
14
Category
Article
ISSN
0001-9054

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On a Model Connected with the Kirchhoff
✍ Fabio Catalano 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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 → ∞. Our approach is based on the e