Stability and approximation of solutions in new reproducing kernel Hilbert spaces on a semi-infinite domain
Keyword(s):
We introduce new reproducing kernel Hilbert spaces on a trapezoidal semi-infinite domain $B_{\infty}$ in the plane. We establish uniform approximation results in terms of the number of nodes on compact subsets of $B_{\infty}$ for solutions to nonhomogeneous hyperbolic partial differential equations in one of these spaces, $\widetilde{W}(B_{\infty})$. Furthermore, we demonstrate the stability of such solutions with respect to the driver. Finally, we give an example to illustrate the efficiency and accuracy of our results.
2017 ◽
Vol 5
(1)
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pp. 111-137
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2017 ◽
Vol 309
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pp. 163-174
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2021 ◽
Vol 500
(1)
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pp. 125107
2002 ◽
Vol 35
(1)
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pp. 103-108
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2013 ◽
Vol 11
(05)
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pp. 1350020
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