• A minimization approach to the wave equation on time-dependent domains

  Dal Maso, Gianni; De Luca, Lucia (SISSA, 2018-06)

  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 ...
• Compactness by maximality

  Zagatti, Sandro (2011)

  We derive a compactness property in the Sobolev space $W^{1,1}(\O)$ in order to study the Dirichlet problem for the eikonal equation \begin{displaymath} \begin{cases} \ha |\n u(x)|^2 - a(x) = 0 & \ \textrm{in} \ \O\cr ...
• Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials

  Dubrovin, Boris; Strachan, Ian A.B.; Zhang, Youjin; Zuo, Dafeng (SISSA, 2015)

  For the root systems of type Bl, Cl and Dl, we generalize the result of [7] by showing the existence of Frobenius manifold structures on the orbit spaces of the extended affine Weyl groups that correspond to any vertex of ...
• Perturbation techniques applied to the real vanishing viscosity approximation of an initial boundary value problem

  Bianchini, Stefano (SISSA, 2007)
• On the Cauchy problem for the wave equation on time-dependent domains

  Dal Maso, Gianni; Toader, Rodica (SISSA, 2018-04)

  We introduce a notion of solution to the wave equation on a suitable class of time-dependent domains and compare it with a previous de nition. We prove an existence result for the solution of the Cauchy problem and present ...

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