MR1774373
Hirosawa, Fumihiko
Fumihiko HIROSAWA
Energy decay for degenerate hyperbolic equations of Klein-Gordon type with dissipative term
Funkcialaj Ekvacioj. Serio Internacia
43
2000
163--191
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol43/fe43-1-9.pdf
http://fe.math.kobe-u.ac.jp/FE/no-infty-pdf.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1774373
43-163
2000
Energy Decay for Degenerate Hyperbolic Equations of Klein-Gordon Type with Dissipative Term
Fumihiko HIROSAWA
Fumihiko HIROSAWA
1
Arosio, A.; Spagnolo, S.
Global existence for abstract evolution equations of weakly hyperbolic type
J. Math. pures et appl.
65
1986
263-305
MR0875159
2
Colombini, E.; Jannelli, E.; Spagnolo, S.
Well-posed in the Gevrey classes of the Cauchy problem for a non-strictly hyperbolic equation with coefficients depending on time
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
10
1983
291-312
MR0728438
3
Matsumura, A.
Energy decay of solutions of dissipative wave equations
Proc. Japan Acad. Ser. A Math. Sci.
53
1977
232-236
MR0463710
4
Mitrinovic, D. S.; Pecaric, J. E.; Fink, A. M.
Inequalities involving functions and their integrals and derivatives
Mathematics and its Applications (East European Series), 53. Kluwer Academic Publishers
1991
MR1190927
5
Mochizuki, K.
Scattering theory for wave equations
Kinokuniya
1984 (Japanese)
6
Mochizuki, K.; Nakazawa, H.
Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation
Publ. Res. Inst. Math. Sci.
32
1996
401-414
MR1409795
7
Oleinik, O. A.
On linear equations of second order with non-negative characteristic form
Mat. Sb. N.S.
69(111)
1966
111-140 (transl,: Transl. Amer. Mat. Soc. (2) 65, 167-199)
MR0193383
8
Rauch, J.; Taylor, M.
Decreasing states of perturbed wave equations
J. Math. Anal. Appl.
54
1976
279-285
MR0435606
9
Reissig, M.; Yagdjian, K., One application of Floquet's theory to $L_p$-$L_q$ decay estimates for hyperbolic equations with very fast oscillations, Math. Methods Appl. Sci. (to appear)
MR1701516
10
Zuazua, E.
Stability and decay for a class of nonlinear hyperbolic problems
Asymptotic Anal.
1
1988
161-185
MR0950012