Displaying similar documents to “Higher regularity of weak solutions of strongly nonlinear elliptic equations”

A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method

Karel Rektorys, Marie Ludvíková (1980)

Aplikace matematiky

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When solving parabolic problems by the so-called Rothe method (see K. Rektorys, Czech. Math. J. 21 (96), 1971, 318-330 and other authors), some difficulties of theoretical nature are encountered in the case of nonhomogeneous initial and boundary conditions. As a rule, these difficulties lead to rather unnatural additional conditions imposed on the corresponding bilinear form and the initial and boundary functions. In the present paper, it is shown how to remove such additional assumptions...