Titlebook: Singularly Perturbed Boundary Value Problems; A Functional Analyti Matteo Dalla Riva,Massimo Lanza de Cristoforis,Pao Book 2021 Springer Na

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Introduction,This book is devoted to the analysis of the basic boundary value problems for the Laplace equation in singularly perturbed domains. More precisely, we will focus on domains with small holes and develop an alternative approach to those of Asymptotic Analysis.

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Nonlinear Boundary Value Problems in Domains with a Small Hole,This chapter is devoted to the application of the Functional Analytic Approach to nonlinear boundary value problems in domains with a small hole. We consider only the case where the nonlinearity appears in the boundary conditions. In our examples we deal with nonlinear Robin boundary conditions and nonlinear transmission conditions.

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Matteo Dalla Riva,Massimo Lanza de Cristoforis,PaoPresents the effect of perturbations in terms of analytic functions instead of in terms of the more classical asymptotic expansions.Shows a powerful tool for the analysis of nonlinear and non-variatio

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Matteo Dalla Riva,Massimo Lanza de Cristoforis,Paolo Musolinoting training data by leveraging knowledge graph structure, semantic similarities, and named entity typing. 2) Finetuning and prompt-tuning of the pre-trained language model BERT are carried out over the training data, to capture semantic and syntactic properties of class names. Our model SLHCat is

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Matteo Dalla Riva,Massimo Lanza de Cristoforis,Paolo MusolinoR), . (ACS), and . (PPA). Our study evaluates the performance of various models, including . (sgSTRAS), . (cbowSTRAS), . (ftSTRAS), and . model (preSTRAS), and the results show that the sgSTRAS model achieves the highest . scores of 0.8343 and 0.8611 on the . and . datasets, respectively, outperform

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