Some quasilinear

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  • V an isometry, as in the theorem of Plancherel, is not just a weighted L2-norm on some measure space. This is due to the fact that the back transformation Z has a different expression on each branch, and this is caused by the ramification of the domain. It is not clear to us how one could find a family of generalized eigenfunctions leading to a spectral representation of A.

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  • ROTHE TIME-DISCRETIZATION METHOD APPLIED TO A QUASILINEAR WAVE EQUATION SUBJECT TO INTEGRAL CONDITIONS ABDELFATAH BOUZIANI AND NABIL MERAZGA Received 27 January 2004 and in revised form 12 February 2004 This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method. 1.

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  • In this paper, we study the existence of generalized solution for a class of singular elliptic equation: −diva ( x, u ( x ) , ∇u ( x ) ) + f ( x, u ( x ) , ∇u ( x ) ) = 0 . Using the Galerkin approximation in [2, 10] and test functions introduced by Drabek, Kufner, Nicolosi in [5], we extend some results about elliptic equations in [2, 3, 4, 6, 10].

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