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How to prove or is there any reference to "integration-by-parts" formula for difference quotients?

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#real-analysis #ordinary-differential-equations #partial-differential-equations
143
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Boundary value problem with nonhomogeneous conditions

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#ordinary-differential-equations #partial-differential-equations #boundary-value-problem
192
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Eliminate unknown function $f$ by obtaining a PDE

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#integration #multivariable-calculus #partial-differential-equations #partial-derivative
87
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Explain the methodology behind the answer to this first-order PDE question

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#calculus #partial-differential-equations #partial-derivative
361
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Purely "discrete" PDEs?

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#partial-differential-equations #discrete-calculus
278
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Looking for a "trace inequality" of normal derivative in $L^1$

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#functional-analysis #partial-differential-equations #sobolev-spaces
255
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Diffusion equation by seperation of variables

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#partial-differential-equations #heat-equation
371
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Help explain why the proof works - Gradient Estimate Using the Maximum Principle

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#analysis #functional-analysis #differential-geometry #partial-differential-equations #functional-inequalities
2.7k
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Showing that the Crank-Nicolson method is second order

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#partial-differential-equations
213
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Eigenvalue problem with asymmetric boundary conditions

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#partial-differential-equations #eigenfunctions
1.6k
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Fundamental Solution for 1d heat equation

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#partial-differential-equations #heat-equation
158
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Finding fourier sine series using another cosine series

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#partial-differential-equations #fourier-series
579
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Norm Inequality on a Compact Riemannian Manifold

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#partial-differential-equations #manifolds #riemannian-geometry #compact-manifolds
92
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How to prove $u=0$ in the unit ball?

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#partial-differential-equations
74
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Solve PDE by separation (Fourier-) method

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#partial-differential-equations

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