On the solutions of nonlinear initial-boundary value problems
type: Item
instance of: scholarly article
title: On the solutions of nonlinear initial-boundary value problems
zbMATH Open document ID: 1063.35017
DOI: 10.1155/S1085337504306081
author: Vladimír Ďurikovič
author: Monika Ďurikovičová
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
review text: Summary: We deal with the general initial-boundary value problem for a second-order nonlinear nonstationary evolution equation. The associated operator equation is studied by the Fredholm and Nemitskii operator theory. Under local Hölder conditions for the nonlinear member, we observe quantitative and qualitative properties of the set of solutions of the given problem. These results can be applied to different mechanical and natural science models.
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47H30
zbMATH DE Number: 2163662
zbMATH Keywords: generic properties
zbMATH Keywords: nonparabolic models
zbMATH Keywords: Fredholm operator theory
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2163662