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On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term

Shuichi Kawashima, Mitsuhiro Nakao, Kosuke Ono

Journal of the Mathematical Society of Japan · 1995 · 130 citations · 6 references

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6

Estimates for translation invariant operators in Lp spaces

Lars Hörmander · Acta Mathematica · 1960 · 1.4K citations · Full text

, , +6

On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations

Akitaka Matsumura · Publications of the Research Institute for Mathematical Sciences · 1976 · 390 citations · Full text

, , +11

The global Cauchy problem for the non linear Klein-Gordon equation

J. Ginibre, G. Velo · Mathematische Zeitschrift · 1985 · 330 citations

, , +13

Regularity and Asymptotic Behavior of the Wave Equation with a Critical Nonlinearity

Manoussos G. Grillakis · Annals of Mathematics · 1990 · 295 citations

, , +16

A difference inequality and its application to nonlinear evolution equations

Mitsuhiro Nakao · Journal of the Mathematical Society of Japan · 1978 · 160 citations · Full text

, , +9