TY - JOUR
T1 - On the Uniqueness of L2-solutions in half-space of certain differential equations
AU - Ben-Artzi, Matania
AU - Devinatz, Allen
PY - 1982/10
Y1 - 1982/10
N2 - Square integrable solutions to the equation {-∂2/∂y2 + P(Dx)+b(y)-λ}u(x, y) = f(x, y) are considered in the half-space y>0, x ∈ℝn, where P(Dx) is a constant coefficient operator. Under suitable conditions on limy→0u(x, y), b(y), f(x, y) and λ, it is shown that supp u = supp f. This generalizes a result due to Walter Littman.
AB - Square integrable solutions to the equation {-∂2/∂y2 + P(Dx)+b(y)-λ}u(x, y) = f(x, y) are considered in the half-space y>0, x ∈ℝn, where P(Dx) is a constant coefficient operator. Under suitable conditions on limy→0u(x, y), b(y), f(x, y) and λ, it is shown that supp u = supp f. This generalizes a result due to Walter Littman.
UR - http://www.scopus.com/inward/record.url?scp=2942605567&partnerID=8YFLogxK
U2 - 10.1007/BF01460120
DO - 10.1007/BF01460120
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AN - SCOPUS:2942605567
SN - 0095-4616
VL - 9
SP - 97
EP - 109
JO - Applied Mathematics and Optimization
JF - Applied Mathematics and Optimization
IS - 1
ER -