The Optimal Decay Estimates on the Framework of Besov Spaces for Generally Dissipative Systems
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| 001 | 605515786 | ||
| 003 | CHVBK | ||
| 005 | 20210128100711.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0860-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0860-3 | ||
| 245 | 0 | 4 | |a The Optimal Decay Estimates on the Framework of Besov Spaces for Generally Dissipative Systems |h [Elektronische Daten] |c [Jiang Xu, Shuichi Kawashima] |
| 520 | 3 | |a We give a new decay framework for the general dissipative hyperbolic system and the hyperbolic-parabolic composite system, which allows us to pay less attention to the traditional spectral analysis in comparison with previous efforts. New ingredients lie in the high-frequency and low-frequency decomposition of a pseudo-differential operator and an interpolation inequality related to homogeneous Besov spaces of negative order. Furthermore, we develop the Littlewood-Paley pointwise energy estimates and new time-weighted energy functionals to establish optimal decay estimates on the framework of spatially critical Besov spaces for the degenerately dissipative hyperbolic system of balance laws. Based on the $${L^{p}(\mathbb{R}^{n})}$$ L p ( R n ) embedding and the improved Gagliardo-Nirenberg inequality, the optimal $${L^{p}(\mathbb{R}^{n})-L^{2}(\mathbb{R}^{n})(1\leqq p < 2)}$$ L p ( R n ) - L 2 ( R n ) ( 1 ≦ p < 2 ) decay rates and $${L^{p}(\mathbb{R}^{n})-L^{q}(\mathbb{R}^{n})(1\leqq p < 2\leqq q\leqq \infty)}$$ L p ( R n ) - L q ( R n ) ( 1 ≦ p < 2 ≦ q ≦ ∞ ) decay rates are further shown. Finally, as a direct application, the optimal decay rates for three dimensional damped compressible Euler equations are also obtained. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Xu |D Jiang |u Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, People's Republic of China |4 aut | |
| 700 | 1 | |a Kawashima |D Shuichi |u Faculty of Mathematics, Kyushu University, 819-0395, Fukuoka, Japan |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 275-315 |x 0003-9527 |q 218:1<275 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0860-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0860-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xu |D Jiang |u Department of Mathematics, Nanjing University of Aeronautics and Astronautics, 211106, Nanjing, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kawashima |D Shuichi |u Faculty of Mathematics, Kyushu University, 819-0395, Fukuoka, Japan |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 275-315 |x 0003-9527 |q 218:1<275 |1 2015 |2 218 |o 205 | ||