Hyberbolic Problems: Existence and Applications1980 - Differential equations, Hyperbolic - 32 pages |
Common terms and phrases
A.C.Lazer abstract existence theorems Abstract Theorem Analogously assume Auxiliary and Bifurcation auxiliary equation Banach or Hilbert Bifurcation Equations bounded Cesari and Kannan compact injections complete orthonormal system converges dimensional kernel elliptic problems existence of solutions extending previous results finite dimensional subspaces Hylly HYPERBOLIC PROBLEMS inverse H Kannan 9 ker E L₂ G least a solution limit element linear operator McKenna necessarily linear necessarily self-adjoint nonlinear normy obtain criteria operation y operator equation Ex orthogonal projection partial inverse Petzeltova 17 projection operators proofs QNx,x question of existence real Banach spaces real Hilbert spaces refer to Cesari S₂ Section situation small parameter smaller space solutions periodic space of linear spaces and let SQNX strongly strongly in X topologies UNIVERSITY OF MICHIGAN usual norm W. S. Hall wave equation weakly x weakly X₁ X₂ Y₁ yɛY