An analysis on classifications of hyperbolic and elliptic PDEs

DOI10.1186/2251-7456-6-47zbMath1308.35064OpenAlexW2048988354WikidataQ59291722 ScholiaQ59291722MaRDI QIDQ2391756

Hassan Eltayeb, Ravi P. Agarwal, Adem Kilicman

Publication date: 5 August 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-47

zbMATH Keywords

hyperbolic equationelliptic equationclassification of PDEsingle and double convolution

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Second-order hyperbolic equations (35L10) Linear higher-order PDEs (35G05) Other special methods applied to PDEs (35A25)

Related Items (3)

Convolution Product and Differential and Integro: Differential Equations ⋮ A note on double Laplace transform and telegraphic equations ⋮ A note on the triple Laplace transform and its applications to some kind of third-order differential equation

Cites Work

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• On finite products of convolutions and classifications of hyperbolic and elliptic equations
• A note on solutions of wave, Laplace's and heat equations with convolution terms by using a double Laplace transform
• Further analysis on classifications of PDE(s) with variable coefficients
• A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
• A note on defining singular integral as distribution and partial differential equations with convolution term
• On the solutions of some boundary value problems by using differential transformation method with convolution terms
• Multidimensional transonic shocks and free boundary problems for nonlinear equations of mixed type

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