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ASYMPTOTIC HOMOGENIZATION IN A PARABOLIC SEMILINEAR PROBLEM WITH PERIODIC COEFFICIENTS AND INTEGRABLE INITIAL DATA

Acta Mathematica Scientia 2013年第5期33卷 1275-1292页

作者： rogerio luiz quintino de oliveira junior Instituto de Matema'tica e Estat' stica Universidade do Estado do R.de Janeiro Rua S ao Francisco Xavier524 - Pavilha o Reitor Joa o Lyra Filho 6oandar bl.B 20559-900 Rio de Janeiro R.J. Brazil

In this paper, we study the large time behavior of solutions of the parabolic semilinear equation δtu-div（a（x）△↓u） = -｜u｜^αu in （0,∞） × R^N, where α 〉 0 is constant and a∈ Cb^1（R^N） is a symmetric periodic matrix satisfying some ellipticity *** an integrable initial data u0 and α ∈ （2/N, 3/N）, we prove that the large time behavior of solutions is given by the solution U（t, x） of the homogenized linear problem δtU-div（a^h△↓U）=0,U（0） = C, where a^h is the homogenized matrix of a（x）, C is a positive constant and δ is the Dirac measure at 0.

关键词： homogenization similinear parabolic equation integrable initial data matrix with periodic coefficient large time behavior

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LC-ESI-IT-MS/MS and MALDI-TOF Approach:Identification of Natural Polymers from Rhizophora mangle Barks and determination of Their Analgesic and Anti-inflammatory Properties

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Natural Products and Bioprospecting 2019年第1期9卷 23-34页

作者： Leonardo Mendes de Souza Mesquita Caroline Fabri Bittencourt Rodrigues Claudia quintino da Rocha Mayara Silveira Bianchim Clenilson Martins Rodrigues Vanda Maria de oliveira Henrique Hessel Gaeta Mariana Novo Belchor Marcos Hikari Toyama Wagner Vilegas Laboratory of Bioprospection of Natural Products(LBPN) UNESP-Sao Paulo State University/Coastal Campus of Sao VicentePc¸a Infante Dom Henrique S/NSao VicenteSao Paulo CEP:11330-900Brazil Laborato´rio de Estudos Avanc¸ados em Fitomedicamentos(LEAF) UFMA-Federal University of MaranhaoAv.dos Portugueses1966-BacangaSao Luı´sMaranhao CEP:65080-805Brazil Embrapa Agroenergy Brazilian Agricultural Research CorporationW3 NortePqEBBrası´liaDF 70770-901Brazil

We recognize the chemical composition of the acetonic extract of Rhizophora mangle barks(AERM)using mass spectrometry analysis[liquid chromatography(LC)–ESI–IT-MS/MS and matrix-assisted laser desorption/ionization-time of flight-MS(MALDI-TOF)].Analgesic activity was evaluated by formalin and tail-flick experimental ***-inflammatory activity was performed by paw edema test induced by carrageenan and 48/80 *** first series of experiments involved[LC]–FIA–IT-MS/MS with 11 separated catechins derivatives until degree of polymerization 3(DP3).The spectra obtained by MALDI-TOF analysis of the AERM presented two homologous series:one based on polymers of m/z 288 Da increments(up to DP12)and another series based on polymers of m/z[288?162]Da increments(up to DP11).In addition to these series of flavan-3-ol,each DP had a subset of masses with a variation of-16 Da(homologous series of afzelechins-m/z 873–3465 Da)and +16 Da(homologous series of gallocatechins-m/z 905–3497 Da).A similar pattern with homologous series of gallocatechins and afzelechins could also be observed for a fifth and a sixth monohexoside series:glucogallocatechins(m/z 779–3371)and glucoafzelechins(m/z 747–3339).The intraperitoneal administration of different doses of AERM(50,150 and 300 lg mL^(-1))have a morphine-like effect and intense anti-inflammatory activity.

关键词： Catechins Tannins Morphine-likeeffect Anti-inflammatory Mangroves

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