Premium
L p Decay problem for the dissipative wave equation in even dimensions
Author(s) -
Ono Kosuke
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.523
Subject(s) - dissipative system , mathematics , initial value problem , wave equation , cauchy problem , mathematical physics , representation (politics) , mathematical analysis , physics , law , quantum mechanics , politics , political science
We study L p decay estimates of the solution to the Cauchy problem for the dissipative wave equation in even dimensions: (□+∂ t ) u =0 in ℝ N × (0,∞) for even N =2 n ⩾2 with initial data ( u ,∂ t u )∣ t =0 =( u 0 , u 1 ). The representation formulas of the solution u ( t )=∂ t S ( t ) u 0 + S ( t )( u 0 + u 1 ) provide the sharp estimates on L p norms with p ⩾1. Copyright © 2004 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom