L. A. Medeiros

On a New Class of Nonlinear Wave Equations

Abstract In this paper we prove the existence and uniqueness of regular solutions for the Cauchy problem for the evolution equation u″ + A 2 u + (α + M(¦A 1 2 u¦ 2 ) Au = 0 , suggested by the study of beams and plates. We represent by A a linear operator of a Hilbert space H with norm ∥, α is a real number, and M ( λ ) > 0 a real function, for λ ⩾ 0.

Existence and Uniqueness for Periodic Solutions of the Benjamin–Bona–Mahony Equation

We consider the problem

Weak solutions for a nonlinear dispersive equation

u_t - u_{xx} + uu_x = 0

Weak solutions for a system of nonlinear Klein-Gordon equations

in

Remarks on a non-well posed problem

- \infty < x

On the Navier–Stokes equations with variable viscosity in a noncylindrical domain

,

On a mixed problem for a class of nonlinear Klein-Gordon equations

t < \infty

On global solutions of a nonlinear dispersive equation of Sobolev type

with initial data at

Iniciação ãs equações diferenciais parciais não lineares

t = 0

A Sobolev type equation

which is 1-periodic and the boundary condition