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Partial Differential Equation to evaluate double series

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#sequences-and-series #ordinary-differential-equations #partial-differential-equations #power-series
94
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Parabolic (heat) PDE Green's function spatial asymptote at infinity

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#partial-differential-equations #asymptotics #greens-function #parabolic-pde
291
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first eigen value of Laplacian

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#partial-differential-equations #laplacian
11.7k
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Neumann boundary conditions in finite difference

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#partial-differential-equations #finite-differences
961
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Parabolic, elliptic and hyperbolic pde

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#ordinary-differential-equations #partial-differential-equations #partial-derivative
148
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Isobars are perpendicular to any part of insulated boundary

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#partial-differential-equations #vectors #physics #problem-solving #heat-equation
275
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Domain of definition of first order linear PDE

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#partial-differential-equations #characteristics
522
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Explanation to PDE $u_{tt}-c^2u_{xx}=0$ solution

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#partial-differential-equations #alternative-proof #cauchy-problem
198
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Finding a series solution using separation of variables

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#partial-differential-equations
644
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Solve the Cauchy problem $u_{tt}-c^2u_{xx}=0$ with conditions $1. \ u(x,0)=g(x)$ and $2.\ u_t(x,0)=h(x)$

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#ordinary-differential-equations #proof-verification #partial-differential-equations #partial-derivative #wave-equation
130
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Dirichlet problem in terms of a Fourier sine series

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#partial-differential-equations #fourier-series #dirichlet-series
54
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Simple calculus

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#multivariable-calculus #partial-differential-equations #hyperbolic-equations
1.4k
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Convergence in the $L^2$ sense but NOT pointwise.

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#real-analysis #convergence-divergence #partial-differential-equations
119
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ODE with Holder drift - Cauchy-Peano theorem

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#ordinary-differential-equations #analysis #partial-differential-equations #dynamical-systems
634
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Is every 2D vector field locally integrable up to a rescaling?

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#differential-geometry #partial-differential-equations #differential-forms #vector-fields #integrating-factor

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