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)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 48E

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