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- W12515519 abstract "Publisher Summary This chapter discusses the problem of Graffi–Cesari. A simple mathematical model for a preliminary study of phenomena of nonlinear optics based on the Maxwell equations of classical electrodynamics with nonlinear constitutive relations was proposed by Graffi in 1967. In this model, the electromagnetic field of the wave is described in terms of two components only as functions of one space variable x and time t, or E = E(x, t), H = H(x, t), and these are assumed to satisfy the usual linear Maxwell equations for plane linearly polarized waves in the regions before (x a) the crystal slab. Inside the slab, the simple form of nonlinear Maxwell equations is assumed. This chapter presents the Cesari's existence theorem. It discusses the nonlinear BV problem as the limit of linear BV problems. The chapter also describes an abstract iterative method." @default.
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- W12515519 date "1982-01-01" @default.
- W12515519 modified "2023-09-27" @default.
- W12515519 title "THE PROBLEM OF GRAFFI-CESARI" @default.
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- W12515519 doi "https://doi.org/10.1016/b978-0-12-434170-8.50019-4" @default.
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