LEADER 02625nam 22005175 450 001 9910300103503321 005 20200702173630.0 010 $a3-319-78515-X 024 7 $a10.1007/978-3-319-78515-8 035 $a(CKB)4100000004243866 035 $a(DE-He213)978-3-319-78515-8 035 $a(MiAaPQ)EBC5379778 035 $a(PPN)227404297 035 $a(EXLCZ)994100000004243866 100 $a20180502d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNonlinear Vibrations and the Wave Equation /$fby Alain Haraux 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (X, 102 p.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 311 $a3-319-78514-1 327 $a1 Unbounded Linear Operators and Evolution Equations -- 2 A Class of Abstract Wave Equations -- 3 Almost Periodic Functions and the Abstract Wave Equation -- 4 The Wave Equation in a Bounded Domain -- 5 The Initial-Value Problem for a Mildly Perturbed Wave Equation -- 6 The Initial-Value Problem in Presence of a Strong Dissipation -- 7 Solutions on R+ and Boundedness of the Energy -- 8 Existence of Forced Oscillations -- 9 Stability of Periodic or Almost Periodic Solutions -- 10 The Conservative Case in One Spatial Dimension -- 11 The Conservative Case in Several Spatial Dimensions -- 12 Thirthy Years After. 330 $aThis book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field. 410 0$aSpringerBriefs in Mathematics,$x2191-8198 606 $aPartial differential equations 606 $aFunctional analysis 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aPartial differential equations. 615 0$aFunctional analysis. 615 14$aPartial Differential Equations. 615 24$aFunctional Analysis. 676 $a531.113301515355 700 $aHaraux$b Alain$4aut$4http://id.loc.gov/vocabulary/relators/aut$042671 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300103503321 996 $aNonlinear Vibrations and the Wave Equation$91563684 997 $aUNINA