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Entire solutions of a variation of the eikonal equation and related PDEs
Proceedings of the Edinburgh Mathematical Society, 2020AbstractThe aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and g is a polynomial or an entire function in $\mathbb {C}^2$.
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Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy
Mathematics, 2021A D Polyanin +2 more
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Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions
Mathematics, 2021Alexander V Aksenov +2 more
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A method for constructing exact solutions of nonlinear delay PDEs
Journal of Mathematical Analysis and Applications, 2021A D Polyanin, Vsevolod G Sorokin
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Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays
Mathematics, 2023A D Polyanin +2 more
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Exact Solutions of Reaction–Diffusion PDEs with Anisotropic Time Delay
Mathematics, 2023A D Polyanin +2 more
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New exact solutions of nonlinear wave type PDEs with delay
Applied Mathematics Letters, 2020A D Polyanin, Vsevolod G Sorokin
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On viscosity solutions of path dependent PDEs
Annals of Probability, 2014Ibrahim Ekren +2 more
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