Discacciati, M, Garetto, C and Loizou, C (2022) Inhomogeneous wave equation with t-dependent singular coefficients. Journal of Differential Equations, 319. pp. 131-185. ISSN 0022-0396
Abstract
This paper is devoted to the study of the inhomogeneous wave equation with singular (less than continuous) time dependent coefficients. Particular attention is given to the role of the lower order terms and suitable Levi conditions are formulated in order to obtain a very weak solution as introduced in [15]. Very weak solutions for this kind of equations are also investigated from a numerical point of view in two toy models: the wave equation with a Heaviside function and a delta distribution, respectively, as coefficient in its principal part.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Hyperbolic equations; Very weak solutions; Regularisation |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > SWJTU Joint School (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Apr 2023 09:58 |
Last Modified: | 19 Apr 2023 09:58 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jde.2022.02.039 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:198286 |