Linear and nonlinear generalized Fourier transforms

DOI10.1098/rsta.2006.1893zbMath1152.37340OpenAlexW2129742367WikidataQ51929328 ScholiaQ51929328MaRDI QIDQ5301904

Beatrice Pelloni

Publication date: 20 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2006.1893

zbMATH Keywords

integral transformsboundary value problemsFourier transform methodsspectral representationsnonlinear evolution PDEs

Mathematics Subject Classification ID

Heat equation (35K05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

Discrete nonlinear Fourier transforms and their inverses ⋮ On the beta distribution, the nonlinear Fourier transform and a combinatorial problem ⋮ The Klein–Gordon Equation in a Domain with Time‐Dependent Boundary ⋮ Moving boundary value problems for the wave equation ⋮ On mechanical waves and Doppler shifts from moving boundaries

Cites Work

• Two–dimensional linear partial differential equations in a convex polygon
• A unified transform method for solving linear and certain nonlinear PDEs
• Integral transforms, spectral representation and the d-bar problem
• The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations

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