When do PDE NOT have solutions?

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  1. Dr Chris Tisdell
  2. partial differential equation
  3. nonexistence of solutions
  4. pde
  5. math
  6. Chris Tisdell
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Комментарии
Автор

Thank you Doctor Chris for your interesting presentation. I think that in the example given at the end of this presentation ds on S4 is equal to -dy and not dy.

ramzimay
Автор

With respect to the boundry conditions you specified for the "concrete" example, I think there is a problem here. You say g(x, y) = 3y^2 for 0 <= y <= 1. There are TWO sides of the rectangle that satisfy this condition. The side you verbally referenced would also require x = 0. That is to say g(x, y) = 3y^2 for 0 <= y <= 1 and x = 0 otherwise g(x, y) = 0. Am I making sense... ?

AdamJoshuaGray
Автор

At 5.25 the double integral of the lapalcian is stated to be zero. However, the integral of second derivatives is zero when the function u(x, y) is zero, but is functions of x and y when u(x, y) is not zero. Why is the assumption u(x, y)= zero valid in this proof?

haraldtasti