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- W2285874999 abstract "Ve derive time decay nues in P-norm for solut.ions to t.he Cauchy problem of the parabolic system and its iV-dimensional analo!!;ue (} 2.: âx k=l k provided only that the initial state u(-, O) is in T,1 n T}, but othf'rwise arbiLrary. lkrc, u = (-u,, ... , um) ia thc vector o[ unknowna, :p) r.p1 , ... , r.pk . 1 f' . d R R 111 R 1'1 'f' l . . d f' are gnren sca a,r nnd10ns, an , , ... , are 11m orm y pos1tlve einite matrices of order m •vhose off-diagonal elements bij (u) are bounded in Lcnns of 'Ui. Thc mcLhod is bas cd on cncrgy cotirna.tcs and CLLII bc ada.p1ed Lo o1.her problem:-~. The decay raLes ob1ained are op!irna.l. Resumo Sao derivadas taxas de decaimento na norma J} para as solucoes do probl ema de Cam:hy do sistema parabolico c do problema corrcspondcnLc crn N duncnaocs *This work was supported by CNPq (PQ 301236/91, AVG 453835/96-1) anel FAPERGS (A PC 96/ 1696-6)" @default.
- W2285874999 created "2016-06-24" @default.
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- W2285874999 date "1998-01-01" @default.
- W2285874999 modified "2023-09-26" @default.
- W2285874999 title "On the time decay of diffusion waves for a class of parabolic systems of conservation laws" @default.
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- W2285874999 doi "https://doi.org/10.21711/231766361998/rmc1518" @default.
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