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Differential expression in Fourier's paper "Theory of Heat"

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#calculus #ordinary-differential-equations #heat-equation
142
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How to find analytical solution for $E(t)$ for the heat equation

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#ordinary-differential-equations #partial-differential-equations #boundary-value-problem #heat-equation
316
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existence and uniqueness for semilinear heat equation

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#functional-analysis #reference-request #partial-differential-equations #heat-equation #parabolic-pde
71
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Solution of nonlinear heat equation decreases in time?

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#functional-analysis #sobolev-spaces #heat-equation
564
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Solving the diffusion equation on the whole line

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#proof-verification #partial-differential-equations #heat-equation
705
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Making sense of translational invariance of the heat equation

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#ordinary-differential-equations #partial-differential-equations #lie-groups #symmetric-groups #heat-equation
79
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$u_t = t\Delta u$, solve with streching

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#heat-equation
496
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Does each PDE's have a strong link to a Particular Stochastic Process

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#partial-differential-equations #stochastic-processes #brownian-motion #heat-equation #stochastic-differential-equations
38
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maximum principle for multi-component heat equation

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#reference-request #partial-differential-equations #heat-equation #maximum-principle
450
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How can I solve for coefficients $B_n$ in the sol. of heat equation / Fourier sine series?

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#fourier-series #heat-equation
88
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Limiting distribution of the solution to the one-dimensional heat equation

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#limits #partial-differential-equations #heat-equation
233
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discretizing the convection-diffusion equation using finite difference method

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#heat-equation #finite-differences #finite-difference-methods
148
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Problem with satisfying Boundary conditions for 1D heat PDE

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#calculus #ordinary-differential-equations #partial-differential-equations #heat-equation
60
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heat equation with exponentially time dependent boundary condition

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#heat-equation
100
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Increasing property of solution of heat equation

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#functional-analysis #partial-differential-equations #sobolev-spaces #heat-equation

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