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Aubin-Lions lemma in higher order Sobolev space

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#partial-differential-equations #compactness #sobolev-spaces #parabolic-pde
530
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Weak derivative and absolutely continuity.

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#real-analysis #partial-differential-equations
986
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Evans Proof of Solution to Poisson's Equation

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#partial-differential-equations #uniform-convergence #poissons-equation
209
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How to solve: $t \cdot \frac{\partial^2v(x,t)}{\partial x^2}=-x \cdot \frac{\partial v(x,t)}{\partial t}$?

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#ordinary-differential-equations #partial-differential-equations #heat-equation
799
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Solving a 2D stationary Fokker-Planck

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#probability-distributions #partial-differential-equations #stochastic-processes
29
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Construction of a bounded real value operator which takes the values 1 and 0 on some subspaces of L^2

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#real-analysis #partial-differential-equations #operator-theory #partial-derivative #sobolev-spaces
28
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Solving a coupled system of equations with unexpected behaviour

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#partial-differential-equations #nonlinear-system
89
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Method of separation of variables (another)

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#ordinary-differential-equations #partial-differential-equations
1.3k
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Diffusion PDE with periodic boundary conditions

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#partial-differential-equations
60
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Poisson maps in Hamiltonian PDEs (KdV in particular)

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#partial-differential-equations #dynamical-systems #hamilton-equations
180
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Order of accuracy of operator splitting

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#partial-differential-equations #numerical-methods
1.2k
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General solution to a first-order partial differential equation

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#ordinary-differential-equations #partial-differential-equations
59
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How Laplace-Dirichlet operator can be found numerically?

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#partial-differential-equations #numerical-methods #laplacian #greens-function
93
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Is there any counterpart of the parabolic cylinder function in higher dimension?

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#calculus #multivariable-calculus #partial-differential-equations #special-functions
222
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How to find the limits of integral after a change of variable?

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#calculus #real-analysis #integration #partial-differential-equations #change-of-variable

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