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QUESTION
Partial Differential Equation Let u(x) be a C^2 solution to -u(x)=|x|^2 on Rn show that *|y|^2 does not make sense. Find a solution nevertheless....
Partial Differential Equation
Let u(x) be a C^2 solution to
-∆u(x)=|x|^2 on Rn
show that Φ*|y|^2 does not make sense.
Find a solution nevertheless. Look for polynomial.
Set M(r) = bounded integral on B(0,r) u(y)dS(y)
show that m(r) = u(0)+ r^4/(4(n+2)
