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Answers

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Showing a singular integral operator takes Holder continuous functions to Holder continuous functions (of the same order)

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Open problems in PDEs, dynamical systems, mathematical physics

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Questions on Discrete Exterior Calculus in numerial computing

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Higher dimensional analogue of Kellog’s theorem? (Holder continuity of solution to Dirichlet problem with Holder continuous boundary data)

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Existence of solution for this parabolic PDE

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Good differential equations text for undergraduates who want to become pure mathematicians

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Any good books on numerical methods for ordinary differential equations?

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Can we calculate the inner product of a semicontinous function with the Dirac delta function?

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How to solve the $C^\alpha$ Poisson equation on closed Riemannian manifolds?

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Reference to the Existence and Uniqueness of the PDE system

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Uniform upper estimate for derivatives of solution of an elliptic PDE

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ODE continuous dependence on parameters to PDE

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What do we know about the semigroup $e^{it\sqrt{-\Delta}}$

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Linear coupled parabolic PDE system with Holder continuous coefficients

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Is there a wavelet frame for $L^2[0,\infty)$?

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Scaling function

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Fundamental Solutions with compact support (distributions)

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Composition of $C^{k, \alpha}$ function with $C^\infty$ function on a compact domain

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Solutions to Heat Equations with Obstacles!

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“Must read” papers in numerical analysis

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duality argument in PDE

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Reference for all solutions of homogeneous elliptic and parabolic equations with Hölder continuous coefficients to be classical

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A property of weakly harmonic functions

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How often do people read the work that they cite?

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How to solve the linearized Navier-Stokes equations in L^P?

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Higher order partial derivatives and global regularity.

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eigenvalues by matrix factorisation, e.g. QR

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Way to memorize relations between the Sobolev spaces?

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Open source LaTeX lecture notes/slides/books

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Knight tour prime (conjecture)