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First-Order Evolution Equations and the Galerkin Method

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Nonlinear Functional Analysis and its Applications

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Abstract

In this chapter, we generalize the Hilbert space methods in Chapter 23, for the investigation of linear parabolic differential equations, to nonlinear problems. In this connection, as an essential auxiliary tool, we use the Galerkin method.

Use several function spaces for the same problem.

The modern strategy for nonlinear partial differential equations

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  1. Sektion Mathematik, Karl-Marx-Platz, 7010, Leipzig, German Democratic Republic

    Eberhard Zeidler

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Zeidler, E. (1990). First-Order Evolution Equations and the Galerkin Method. In: Nonlinear Functional Analysis and its Applications. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0981-2_6

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  • DOI: https://doi.org/10.1007/978-1-4612-0981-2_6

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