Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-17T15:40:30Z No. of bitstreams: 1 arquivototal.pdf: 1244185 bytes, checksum: d60955ede563305b1f641dd53d7154a7 (MD5) / Made available in DSpace on 2017-08-17T15:40:30Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1244185 bytes, checksum: d60955ede563305b1f641dd53d7154a7 (MD5) Previous issue date: 2017-03-30 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In thisworkwestudytheasymptoticbehaviorofthesolutionsofpartialdi erential equations slowlynon-dissipative,wewillgiveabriefhistoricaloverviewonthetheme, wewillpresentanintroductiontothetheoryofsemigroupsofboundedlinearoperators in Banachspaces,fractionalpowersofsectoroperatorsandresultsontheexistenceand uniqueness ofsolutionsofabstractCauchysemilinearproblemsoftheparabolictype. / Neste trabalhoestudamosocomportamentoassint oticodassolu c~oesdeequa c~oes diferenciais parciaislentamenten~aodissipativas,daremosumbreveapanhadohist orico sobre otema,apresentaremosumaintrodu c~ao ateoriadesemigruposdeoperadores lineares limitadosemespa cosdeBanach,pot^enciasfracion ariasdeoperadoressetoriais e resultadossobreexist^enciaeunicidadedesolu c~oesdeproblemasabstratosdeCauchy semilineares dotipoparab olico.