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Gaining Regularity of Weak Solutions by Choosing Proper Boundary Conditions

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#partial-differential-equations #regularity-theory-of-pdes
95
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Boundedness of solutions for the Laplacian

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#analysis #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes
105
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Regularity when Dirichlet conditions are posed on the interior of a domain.

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#reference-request #partial-differential-equations #regularity-theory-of-pdes
149
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sobolev embedding theorem does not imply hardy's inequality

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#inequality #partial-differential-equations #regularity-theory-of-pdes
64
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embedding of two spaces

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#analysis #functional-analysis #partial-differential-equations #regularity-theory-of-pdes
139
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$H^2$ regularity for divergence style right hand side.

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#partial-differential-equations #regularity-theory-of-pdes
526
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Regularity of a parabolic equation

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#partial-differential-equations #stochastic-processes #stochastic-calculus #regularity-theory-of-pdes
338
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Global Holder regularity from DiGiorgi-nash-moser

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#reference-request #partial-differential-equations #regularity-theory-of-pdes #holder-spaces #elliptic-operators
333
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Holder norms inequality

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#real-analysis #holder-spaces #regularity-theory-of-pdes
48
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a question in analysis of Sobolev spaces.

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#functional-analysis #partial-differential-equations #regularity-theory-of-pdes
36
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$e^{t\Delta }f $ grows at the same rate as $[\int f]G_t$ in $L_2$

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#fourier-analysis #regularity-theory-of-pdes
625
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Conservation of the $L^1$ norm in the Heat equation

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#partial-differential-equations #heat-equation #regularity-theory-of-pdes
6.4k
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uniqueness heat equation

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#ordinary-differential-equations #partial-differential-equations #heat-equation #regularity-theory-of-pdes
159
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Show this scalar conservation law has a unique smooth solution.

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#partial-differential-equations #regularity-theory-of-pdes
622
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Conservation of norms by the 2-d euler vorticity equation

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#partial-differential-equations #fluid-dynamics #regularity-theory-of-pdes

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