List questions from regularity-theory-of-pdes

Published on 19 Jan 2016 - 19:38

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cutoff function vs mollifiers

Published on 20 Jan 2016 - 2:38

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Laplace Equation in a Cylinder with Some Uncommon Boundary Conditions

Published on 21 Jan 2016 - 8:57

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Biharmonic Equation in a Rectangle with Some Uncommon Boundary Conditions

Published on 21 Jan 2016 - 21:41

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uniqueness of heat equations and the squared integrable assumption

Published on 07 Feb 2016 - 6:40

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Differentiability of PDE with respect to parameters

Published on 09 Feb 2016 - 12:55

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Showing coercivity of the bilinear form associated with a robin boundary value problem

Published on 12 Feb 2016 - 22:10

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Proving weak coercivity by young's and interpolation inequalities

Published on 13 Feb 2016 - 21:54

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Solve: $u_t+(u_x)^ 2=0$ , $u(x, 0)=-x^2$ and show that the solution breaks down when $t=\dfrac{1}{4}$ .

Published on 14 Feb 2016 - 21:56

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Bounding $L^{\infty}$ norm for elliptic PDE

Published on 19 Feb 2016 - 0:13

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Is this statement about the solution to an elliptic problem true.

Published on 27 Mar 2026 - 7:46

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For what class of functions is the following integral finite?

Published on 21 Feb 2016 - 23:09

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Poisson equation, $L^2$ bounds

Published on 26 Mar 2026 - 21:25

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What is the intersection of all Sobolev spaces of square integrable functions?

Published on 25 Feb 2016 - 15:20

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$L^p-L^q$ estimates for heat equation - regularizing effect

Published on 27 Mar 2026 - 11:24

List Question

Laplace Equation in a Cylinder where the Laplacian is Prescribed Over the Boundary

cutoff function vs mollifiers

Laplace Equation in a Cylinder with Some Uncommon Boundary Conditions

Biharmonic Equation in a Rectangle with Some Uncommon Boundary Conditions

uniqueness of heat equations and the squared integrable assumption

Differentiability of PDE with respect to parameters

Showing coercivity of the bilinear form associated with a robin boundary value problem

Proving weak coercivity by young's and interpolation inequalities

Solve: $u_t+(u_x)^ 2=0$ , $u(x, 0)=-x^2$ and show that the solution breaks down when $t=\dfrac{1}{4}$ .

Bounding $L^{\infty}$ norm for elliptic PDE

Is this statement about the solution to an elliptic problem true.

For what class of functions is the following integral finite?

Poisson equation, $L^2$ bounds

What is the intersection of all Sobolev spaces of square integrable functions?

$L^p-L^q$ estimates for heat equation - regularizing effect

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