We investigate a quasilinear anisotropic parabolic equation with double degeneration for which we establish the existence of a Solution by combining a semidiscretisation procedure with a suitable time-discretised compactness result.

This paper proposes introducing domain adaptation into Japanese predicate-argument structure (PAS) analysis. Our investigation of a Japanese balanced-corpus revealed that the distribution of argument types differs across text media. The difference is particularly significant when the argument is exophoric. Previous Japanese PAS analysis research has disregarded this tendency as studies have targeted mono-media corpora. This investigation begins with a PAS analyzer based on a recurrent neural network as its baseline and extends it by introducing three kinds of domain-adaptation techniques and their combinations. Evaluation experiments using a Japanese balanced-corpus (BCCWJ-PAS) confirmed the domain dependency of the PAS analysis. The domain adaptation is effective in improving the performance of the Japanese PAS analysis, especially in the the nominative case. The maximum F1 score in the QA text analysis (0.030) improved in comparison to the baseline.

We investigate the behaviour of a sequence λ s , s = 1, 2,. .. , of eigenvalues of the Dirichlet problem for the p-Laplacian in the domains Ω s , s = 1, 2,. .. , obtained by removing from a given domain Ω a set E s whose diameter vanishes when s → ∞. We estimate the deviation of λ s from the eigenvalue of the limit problem. For the derivation of our results we construct an appropriate asymptotic expansion for the sequence of solutions of the original eigenvalue problem.

Abstract. We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains Q (s) T , s = 1, 2, . . . We prove that as s → ∞, the solution of the problem converges in appropriate topologies to the solution of a limit initial boundary value problem of the same type but containing some additional terms which are expressed in terms of quantities related to the geometry of Q (s)T . We give an explicit construction of that limit problem.

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