Geodesic
Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space
Applications of Mathematics, Tome 34 (1989) no. 6, pp. 439-448.

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The Rothe-Galerkin method is used for discretization. The rate of convergence in $C(I, L_p(G))$ for the approximate solution of a quasilinear parabolic equation with a Volterra operator on the right-hand side is established.
DOI : 10.21136/AM.1989.104374
Classification : 35K22, 45K05, 45L05, 49K22, 65M15, 65M20, 65R20
Keywords: error estimate; Rothe’s method; semidiscretization in time; quasilinear parabolic Volterra integro-differential equation; rate of convergence; galerkin's method 
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     author = {Slodi\v{c}ka, Mari\'an},
     title = {Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space},
     journal = {Applications of Mathematics},
     pages = {439--448},
     publisher = {mathdoc},
     volume = {34},
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Slodička, Marián. Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space. Applications of Mathematics, Tome 34 (1989) no. 6, pp. 439-448. doi : 10.21136/AM.1989.104374. http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104374/

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