We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of time-dependent domains. Using the approach suggested by De Giorgi and developed by Serra and Tilli, such solutions are approximated by minimizers of suitable functionals defined on space-time.Non UBCUnreviewedAuthor affiliation: SISSAFacult
We present both theory and an algorithm for solving time-harmonic wave prob-lems in a general settin...
ABSTRACT To obtain a control function which puts the wave equation in an unknown min-imum time into ...
We study the initial-boundary value problem for a:u(t, x) + A(t)u(t, x) + B(t)a,u(t, x) = f ( z, x...
We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of tim...
We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains...
We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wave equati...
Abstract We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wa...
This paper is devoted to the study of the inhomogeneous wave equation with singular (less than conti...
Boundary-value problems of mathematical physics and engineering can be reformulated in terms of boun...
This paper complements the study of the wave equation with discontinuous coefficients initiated in (...
This paper complements the study of the wave equation with discontinuous coefficients initiated in (...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
In the present dissertation we discuss an extension of some results obtained by E. Serra and P. Till...
We consider the homogeneous wave equation on a bounded open connected subset Ω of IRn. Some initial...
We discuss a purely variational approach to the study of a wide class of second order nonhomogeneous...
We present both theory and an algorithm for solving time-harmonic wave prob-lems in a general settin...
ABSTRACT To obtain a control function which puts the wave equation in an unknown min-imum time into ...
We study the initial-boundary value problem for a:u(t, x) + A(t)u(t, x) + B(t)a,u(t, x) = f ( z, x...
We prove the existence of weak solutions to the homogeneous wave equation on a suitable class of tim...
We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains...
We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wave equati...
Abstract We prove a conjecture by De Giorgi, which states that global weak solutions of nonlinear wa...
This paper is devoted to the study of the inhomogeneous wave equation with singular (less than conti...
Boundary-value problems of mathematical physics and engineering can be reformulated in terms of boun...
This paper complements the study of the wave equation with discontinuous coefficients initiated in (...
This paper complements the study of the wave equation with discontinuous coefficients initiated in (...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
In the present dissertation we discuss an extension of some results obtained by E. Serra and P. Till...
We consider the homogeneous wave equation on a bounded open connected subset Ω of IRn. Some initial...
We discuss a purely variational approach to the study of a wide class of second order nonhomogeneous...
We present both theory and an algorithm for solving time-harmonic wave prob-lems in a general settin...
ABSTRACT To obtain a control function which puts the wave equation in an unknown min-imum time into ...
We study the initial-boundary value problem for a:u(t, x) + A(t)u(t, x) + B(t)a,u(t, x) = f ( z, x...