Application of Rothe’s Method to Nonlinear Parabolic Boundary Value Problems

Jozef Kačur
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Jozef Kačur: Mlynská dolina, Prírodovedeckâ fakulta UK

A chapter in Nonlinear Evolution Equations and Potential Theory, 1975, pp 89-93 from Springer

Abstract: Abstract We shall consider nonlinear parabolic boundary value problems of the form (1) $$\zeta {\rm \frac{{du(t)}}{{dt}} + A(t)u(t) = f(t);\,0 \leqslant t \leqslant T;\,u(0)\, = u_o}, $$ , where A(t), t ∈ 〈O, T〉 is a system of nonlinear operators.

Date: 1975
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DOI: 10.1007/978-1-4613-4425-4_6

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