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Uniqueness of the heat equation for initial data in $L^\infty$

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#real-analysis #partial-differential-equations #heat-equation #parabolic-pde
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Proving a corollary of the weak max principle PDEs

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#partial-differential-equations #solution-verification #maximum-principle #parabolic-pde
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How can one derive a partial differential equation from a function

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#partial-differential-equations #parabolic-pde
318
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Existence of a Solution for a Nonlinear Heat Equation

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#partial-differential-equations #heat-equation #regularity-theory-of-pdes #parabolic-pde
117
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Weak formulation and Lax-Milgram lemma for $\partial_t u = \partial_x (u^2 \partial_x u)$

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#partial-differential-equations #weak-derivatives #parabolic-pde #coercive
86
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Solving a specific linear parabolic PDE analytically

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#partial-differential-equations #alternative-proof #linear-pde #parabolic-pde
126
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Heat Equation with Initial Data in $L^1.$

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#partial-differential-equations #heat-equation #regularity-theory-of-pdes #greens-function #parabolic-pde
73
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Help with a parabolic partial differential equation

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#partial-differential-equations #parabolic-pde
172
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Reference for short time existence for parabolic equations

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#partial-differential-equations #reference-request #parabolic-pde
180
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how to apply IC to solve PDE?

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#ordinary-differential-equations #partial-differential-equations #parabolic-pde
163
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Regularity of solution of $u_t -\Delta u=f$ where $f$ is a continuous function

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#functional-analysis #partial-differential-equations #regularity-theory-of-pdes #parabolic-pde
212
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Hamiltonians, PDE, Density of a Fluid.

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#partial-differential-equations #calculus-of-variations #fluid-dynamics #parabolic-pde #hamilton-equations
672
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Delta of options : A mathematical explanation

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#stochastic-calculus #finance #mathematical-modeling #economics #parabolic-pde
774
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How to solve a convection-diffusion equation analytically?

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#partial-differential-equations #fourier-analysis #fourier-transform #parabolic-pde
18
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Uniqueness class for higher-order heat-type equation

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#functional-analysis #partial-differential-equations #parabolic-pde

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