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Finding a particular solution to a given pde

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#partial-differential-equations
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Maximum points for heat flux density

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#ordinary-differential-equations #partial-differential-equations #vector-analysis
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Solving Heat Equation using Method of Characteristics

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#partial-differential-equations #heat-equation #characteristics
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Heat equation energy estimates

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#partial-differential-equations #heat-equation #parabolic-pde #galerkin-methods
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Problem 13 - Chapter 5 - Evans' PDE (Second Edition)

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#partial-differential-equations #sobolev-spaces #lipschitz-functions #weak-derivatives
37
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Why does $\frac{1}{\gamma}(Kf,v)=\frac{1}{\gamma}(f,K^*v)$

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#partial-differential-equations #elliptic-equations
144
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General Green's formula for a linear differential operator

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#ordinary-differential-equations #differential-geometry #partial-differential-equations #greens-theorem
164
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Time dependent PDE in polar coordinate

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#partial-differential-equations #laplace-transform #polar-coordinates #dirac-delta #greens-function
970
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Weak derivative of the Weierstrass function?

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#functional-analysis #partial-differential-equations
278
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Deducing an interpolation inequality from another interpolation inequality

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#partial-differential-equations #sobolev-spaces #interpolation
195
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Why is this PDE semi linear?

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#partial-differential-equations
18.5k
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Find the complete integral $z=px + qy + pq$

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#calculus #ordinary-differential-equations #partial-differential-equations
1.3k
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Solving the Helmholtz equation on a square with Neumann boundary conditions .

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#partial-differential-equations #boundary-value-problem
179
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Dampings in PDE theory and stabilisation

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#real-analysis #partial-differential-equations #control-theory #stability-in-odes #stability-theory
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Regarding the PDE $ u_{tt}+u_{xxxx} + \cos x \cos u = 0$, which of the statements is correct?

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