A semigroup treatment of the Hamilton-Jacobi equation in one space variable

Author:

Aizawa Sadakazu

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference8 articles.

1. [3] M. G. Crandall and T. M. Liggett, Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), 265-298.

2. [1] M. M. Belova, On bounded solutions of nonlinear differential equations of second order, Mat. Sbornik, 56 (98) (1962), 469-503.

3. [2] M. G. Crandall, The semigroup approach to first order quasilinear equations in several space variables, Israel J. Math., 12 (1972), 108-132.

4. [4] M. G. Crandall and A. Pazy, Nonlinear evolution equations in Banach spaces, Israel J. Math., 11 (1972), 57-94.

5. [5] Y. Konishi, On ut=uxx--F{ux) and the differentiability of the nonlinear semigroup associated with it, Proc. Japan Acad., 48 (1972), 281-286.

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