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A note on nonhomogeneous initial and boundary conditions in parabolic problems solved by the Rothe method. (English) Zbl 0438.65100
65N40 Method of lines for boundary value problems involving PDEs
35K15 Initial value problems for second-order parabolic equations
35K20 Initial-boundary value problems for second-order parabolic equations
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[1] Rektorys K.: On Application of Direct Variational Methods to the Solution of Parabolic Boundary Value Problems of Arbitrary Order in the Space Variables. Czech. Math. J. 21 (96), 1971, 318-330. · Zbl 0217.41601
[2] Kačur J.: Application of Rothe’s Method to Nonlinear Evolution Equations. Matem. časopis SAV 25 (1975), No 1, 63-81. · Zbl 0298.34058
[3] Kačur J., Wawruch A.: On an Approximate Solution for Quasilinear Parabolic Equations. Czech. Math. J. 27 (102), 1977, 220-241. · Zbl 0377.35036
[4] Nečas J.: Les méthodes directes en théorie aux équations elliptiques. Praha, Akademia 1967. · Zbl 1225.35003
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