List questions from regularity-theory-of-pdes

Published on 02 May 2016 - 22:36

55

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Why are PDEs with Hamiltonians usually solved on compact manifolds?

Published on 06 May 2016 - 15:23

493

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Bound first order derivative by $L^2$ norm of elliptic elliptic operator

Published on 09 May 2016 - 11:21

134

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Mean curvature flow - initial condition - mean-convex

Published on 09 May 2016 - 11:37

1.3k

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Laplacian as a Fredholm operator

Published on 12 May 2016 - 10:35

248

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Weak solutions for elliptic equations

Published on 27 Mar 2026 - 23:39

127

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Showing regularity $(u \in C^2(\overline{\Omega}))$ for the Laplacian Problem.

Published on 27 Mar 2026 - 23:40

2.8k

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In what conditions a weak solution is a classical solution?

Published on 27 Mar 2026 - 20:19

1.2k

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Does Green's (first) identity hold for Weak Derivatives?

Published on 27 Mar 2026 - 23:40

562

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Continuity of PDE solutions with respect to coefficients

Published on 17 May 2016 - 15:50

415

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Concerning the proof of regularity of the weak solution for the laplacian problem given in Brezis

Published on 27 Mar 2026 - 14:03

60

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What is the definition of $f \in C^{\infty}(\overline{U})$?

Published on 31 May 2016 - 18:27

43

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If $u_{k|_{\Omega}} \to u$ in $W^{1,p}(\Omega)$ with $(u_k) \subset C_c^{\infty}(\mathbb{R}^n)$ then $u_k \to u $ in $W^{1,p}(\bar{\Omega})$

Published on 31 May 2016 - 19:15

49

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how to solve this:$\nabla .(u+v+w)+\nabla ' .(t+h+g)=f$

Published on 01 Jun 2016 - 22:17

46

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assigning boundary values to a weakly differentiable function

Published on 03 Jun 2016 - 3:31

List Question

Local boundedness of weak solutions for a elliptic equation in divergence form

Why are PDEs with Hamiltonians usually solved on compact manifolds?

Bound first order derivative by $L^2$ norm of elliptic elliptic operator

Mean curvature flow - initial condition - mean-convex

Laplacian as a Fredholm operator

Weak solutions for elliptic equations

Showing regularity $(u \in C^2(\overline{\Omega}))$ for the Laplacian Problem.

In what conditions a weak solution is a classical solution?

Does Green's (first) identity hold for Weak Derivatives?

Continuity of PDE solutions with respect to coefficients

Concerning the proof of regularity of the weak solution for the laplacian problem given in Brezis

What is the definition of $f \in C^{\infty}(\overline{U})$?

If $u_{k|_{\Omega}} \to u$ in $W^{1,p}(\Omega)$ with $(u_k) \subset C_c^{\infty}(\mathbb{R}^n)$ then $u_k \to u $ in $W^{1,p}(\bar{\Omega})$

how to solve this:$\nabla .(u+v+w)+\nabla ' .(t+h+g)=f$

assigning boundary values to a weakly differentiable function

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