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Weak solution of heat equation decreases in time

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#reference-request #partial-differential-equations #sobolev-spaces #heat-equation
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Trouble with solution for transport equation.

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#partial-differential-equations #characteristics
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Taking a Fourier transform after taking Laplace transform

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#partial-differential-equations #laplace-transform #fourier-transform
108
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Trivial question on ode's

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#ordinary-differential-equations #partial-differential-equations #mathematical-physics #linear-pde
1.2k
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Laplace equation with boundary conditions of solution value and normal derivative

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#partial-differential-equations #fourier-analysis
21
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Question about the derivation of the charecteristics of the Hamilton Jacobi Equation.

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#partial-differential-equations #partial-derivative #chain-rule
63
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Explanation for two points in the paper on first-order PDE

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#partial-differential-equations #characteristics
103
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A way of solving this PDE? (Other than method of characteristics)

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#ordinary-differential-equations #partial-differential-equations
69
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Partial derivatives Laplace operator, showing that is harmonic

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#partial-differential-equations
49
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Why is this equality true (PDEs)?

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#partial-differential-equations
153
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relation between the Lebesgue measure and the perimeter of a set

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#measure-theory #partial-differential-equations #lebesgue-measure #geometric-measure-theory
14
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How to prove this inequality involving functions?

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#partial-differential-equations
114
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Convexity of solutions of parabolic PDE

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#partial-differential-equations #parabolic-pde
183
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Finiteness of Maximal function

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#partial-differential-equations #operator-theory #harmonic-analysis
249
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Limit of a sequence of functions in the Sobolev space

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#functional-analysis #partial-differential-equations #sobolev-spaces #calculus-of-variations

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