Polynomial solutions of partial differential equations

DOI10.4310/MAA.1999.V6.N1.A7zbMath0933.35039OpenAlexW2622606523MaRDI QIDQ1296538

Z. G. Shanidze, Walter K. Hayman

Publication date: 19 March 2000

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/maa.1999.v6.n1.a7

zbMATH Keywords

heat equationbiharmonic equationpolynomial datasecond-order partial differential equations with constant coefficients in two variables

Mathematics Subject Classification ID

General theory of PDEs and systems of PDEs with constant coefficients (35E20) Solutions to PDEs in closed form (35C05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (7)

Finding solutions of parabolic Monge-Ampère equations by using the geometry of sections of the contact distribution ⋮ The differential-symbol method of solving the problem with local two-point in time conditions for a partial differential equation ⋮ The differential-symbol method of constructing the quasi-polynomial solutions of two-point problem ⋮ On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE ⋮ The differential-symbol method of constructing the quasipolynomial solutions of two-point in time problem for nonhomogeneous partial differential equation ⋮ Differential-symbol method of constructing the quasipolynomial solutions of a two-point problem for a partial differential equation ⋮ Several families of new exact solutions for wave-like equations with variable coefficients

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