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Reference complementing Hairer's "Introduction to Stochastic PDEs"

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#reference-request #partial-differential-equations #stochastic-analysis #regularity-theory-of-pdes #stochastic-pde
296
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negative outward normal derivative implies positiveness near the boundary.

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#calculus #regularity-theory-of-pdes
150
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Does a continuous function in $W^{1,p}$ for $p<n$ lie in $W^{1,n}$?

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#real-analysis #sobolev-spaces #regularity-theory-of-pdes
172
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Heat equation and smoothness effect

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#partial-differential-equations #regularity-theory-of-pdes #parabolic-pde
133
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Elliptic regularity of harmonic forms in $L^1$

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#reference-request #riemannian-geometry #regularity-theory-of-pdes #elliptic-equations #elliptic-operators
120
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Is this an hypoelliptic operator?

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#real-analysis #partial-differential-equations #regularity-theory-of-pdes #elliptic-equations #elliptic-operators
246
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Estimates of fundamental solution of heat equation in Sobolev space

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#real-analysis #partial-differential-equations #heat-equation #regularity-theory-of-pdes #parabolic-pde
68
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Smoothness of closed geodesics

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#differential-geometry #geodesic #regularity-theory-of-pdes
311
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Higher differentiability of weak solutions to 2nd order elliptic PDEs with mixed boundary conditions

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#sobolev-spaces #regularity-theory-of-pdes #weak-derivatives #elliptic-equations
3.7k
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Need good reference or a proof on regularity of solution to Neumann problem

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#reference-request #partial-differential-equations #regularity-theory-of-pdes #linear-pde #reference-works
102
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Uniqueness for classical solution of PDE

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#measure-theory #partial-differential-equations #regularity-theory-of-pdes #hyperbolic-equations
94
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An inequality for Sobolev functions

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes
380
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Error estimates in the $L^2$ norm of conforming FEM about Poisson’s equation with mixed boundary conditions

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#regularity-theory-of-pdes #finite-element-method #poissons-equation #elliptic-equations
1.5k
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Minty-Browder theorem

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#functional-analysis #partial-differential-equations #regularity-theory-of-pdes
216
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Boundary regularity for the p-Laplace equation

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#partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes

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