Null-Solutions of Elliptic Partial Differential Equations with Power Growth

D. Mitrea (), I. Mitrea () and M. Mitrea ()
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D. Mitrea: Baylor University, Department of Mathematics
I. Mitrea: Temple University, Department of Mathematics
M. Mitrea: Baylor University, Department of Mathematics

Chapter Chapter 17 in Integral Methods in Science and Engineering, 2022, pp 245-259 from Springer

Abstract: Abstract For any null-solution of a weakly elliptic higher-order system in an exterior domain with at most power growth at infinity, we show that the leading term in its asymptotic expansion is a polynomial. The proof employs boundary layer potentials for higher-order weakly elliptic systems, and a version of the Divergence Theorem for singular vector fields.

Date: 2022
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DOI: 10.1007/978-3-031-07171-3_17

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