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Omega in R^n bounded domain with a smooth boundary for intervals. let be continuous functions prove to the following CR () NR 14(·): ƏN → R,ƒ(·): → R A(Au)(x) = 0 ΥΧΕΩ u(x) = x(x) ΨΧ Ε ΘΩ. dn du (x) = = √(x) Vx € ΘΩ, There exists at most one solution (u in C^4(Omega .u(·) € C4 (П, R)

Omega in R^n bounded domain with a smooth boundary for intervals. let be continuous functions prove to the following CR () NR 14(·): ƏN → R,ƒ(·): → R A(Au)(x) = 0 ΥΧΕΩ u(x) = x(x) ΨΧ Ε ΘΩ. dn du (x) = = √(x) Vx € ΘΩ, There exists at most one solution (u in C^4(Omega .u(·) € C4 (П, R)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Omega in R^n bounded domain with a smooth boundary for intervals. let be continuous functions prove to the following CR () NR 14(·): ƏN → R,ƒ(·): → R A(Au)(x) = 0 ΥΧΕΩ u(x) = x(x) ΨΧ Ε ΘΩ. dn du (x) = = √(x) Vx € ΘΩ, There exists at most one solution (u in C^4(Omega .u(·) € C4 (П, R)
Transcribed Image Text:Omega in R^n bounded domain with a smooth boundary for intervals. let be continuous functions prove to the following CR () NR 14(·): ƏN → R,ƒ(·): → R A(Au)(x) = 0 ΥΧΕΩ u(x) = x(x) ΨΧ Ε ΘΩ. dn du (x) = = √(x) Vx € ΘΩ, There exists at most one solution (u in C^4(Omega .u(·) € C4 (П, R)
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