A priori estimates for the Helmholtz equation with electromagnetic potentials in exterior domains
2013 ◽
Vol 143
(1)
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pp. 1-19
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Keyword(s):
A Priori
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We study the Helmholtz equation with electromagnetic-type perturbations, in the exterior of a domain, in dimension n ≥ 3. Using multiplier techniques in the style of Morawetz, we prove a family of a priori estimates from which the limiting absorption principle follows. Moreover, we give some standard applications to cases with an absence of embedded eigenvalues and zero resonances, under explicit conditions on the potentials.
A priori estimates for solutions of the Helmholtz equation in exterior domains and their application
1969 ◽
Vol 27
(2)
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pp. 253-261
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Keyword(s):
A Priori
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2009 ◽
2020 ◽
Vol 57
(1)
◽
pp. 68-90
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1990 ◽
Vol 84
(1)
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pp. 100-128
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