Existence of stable standing waves for the Schrödinger–Choquard equation
Boundary Value Problems, 2018 In this paper, by variational methods and the profile decomposition of bounded sequences in H1 $H^{1}$ we study the existence of stable standing waves for the Schrödinger–Choquard equation with an L2 $L^{2}$-critical nonlinearity. Our results extend some
Kun Liu, Cunqin Shi
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On Boundary Value Problems for the Hyperbolic Case
Journal of Complexity, 1994 The situation for the solvability and the uniqueness of the Dirichlet problem for the wave equation depends on the form of the domain and the boundary values. This dependence is not of a natural kind dealing with smoothness properties of functions describing the boundary and the data.
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Publisher Correction: A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems. [PDF]
Sci Rep, 2022 Seo JK.
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