Solution-Find bounded function that solves the problem

Find bounded function that solves the problem

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Reference no: EM131131257

Let p:={(x,y) in R^2: x^2 +y^2<1}

Find bounded function u(x,y) that solves the following problem:

0=Ux,x +Ut,t, for (x,y) in p

u(x,y)= g(x,y) for (x,y) in p with g(x,y):=2 x^2 + y^2.

the solution cannot contain unevaluated infinite sums and unevaluated integrals.

the solution should be given in Cartesian coordinates

Reference no: EM131131257

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Find bounded function that solves the problem

Reference no: EM131131257

Reference no: EM131131257

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