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Journals and Conferences
We prove the existence and uniqueness of a global solution of a damped quasilinear hyperbolic equation. Key point to our proof is the use of the Yosida approximation. Furthermore, we apply a method based on a specific integral inequality to prove that the solution decays exponentially to zero when the time t goes to infinity.
In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.
We study a unilateral problem for the nonhomogeneous degenerated Kirchhoff equation with a blowing up term. Making use of the penalty method and Galerkin s approximations, we establish global existence and uniqueness theorems. 2002 Published by Elsevier Science Inc.
Here we are at the beginning of a new year and a new volume of CRUX with MAYHEM. My thanks go to our readers, problem solvers, commentators , and suppliers of Olympiad materials over the last year (and for some decades!). Among those contributing last year are: To start the new year we give the problems of the 1999 Vietnamese Mathematical Olympiad. My… (More)