On global existence for semilinear wave equations with space-dependent critical damping-Reference-Cited by-同舟云学术

On global existence for semilinear wave equations with space-dependent critical damping

Published:2023-04-21 Issue:2 Volume:75 Page:
ISSN:0025-5645
Container-title:Journal of the Mathematical Society of Japan
language:
Short-container-title:J. Math. Soc. Japan

Author:

SOBAJIMA Motohiro¹

Affiliation:

1. Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science

Publisher

Mathematical Society of Japan (Project Euclid)

Subject

General Mathematics

Reference33 articles.

1. [1] W. Arendt, G. R. Goldstein and J. A. Goldstein, Outgrowths of Hardy's inequality, In: Recent Advances in Differential Equations and Mathematical Physics, Contemp. Math., 412, Amer. Math. Soc., Providence, RI, 2006, 51–68.

2. [2] R. Beals and R. Wong, Special Functions. A Graduate Text, Cambridge Stud. Adv. Math., 126, Cambridge Univ. Press, Cambridge, 2010.

3. [3] H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, Universitext, Springer, New York, 2011, xiv+599 pp.

4. [4] L. Caffarelli, R. Kohn and L. Nirenberg, First order interpolation inequalities with weights, Compositio Math., 53 (1984), 259–275.

5. [5] T. Cazenave and A. Haraux, An Introduction to Semilinear Evolution Equations, Oxford Lecture Ser. Math. Appl., 13, The Clarendon Press, Oxford Univ. Press, New York, 1998.

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