Julián Aguirre

Age: 58

I am a professor in the Math Department of the University of the Basque Country. I got my PhD at Washington University in St. Louis. My research interests are PDE's and Number Theory. My hobbies are sailing and travelling around the word.

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1d	answered	How to prove a PDE preserves mass?
1d	comment	Exponential decay of Heat equation solution No integrability condition?
1d	comment	Exponential decay of Heat equation solution Some condition on $F$ is needed. Otherwise $W(x,t)=a\,x+b$ with $a,b\ge0$ is a counterexample.
2d	answered	Decreasing from the horizontal asymptote
2d	answered	Does $u\in L^p(B)$ implies $u_{\|\partial B_t}\in L^p(\partial B_t)$ for almost $t\in (0,1]$?
May 10	comment	$g=(g_1,...,g_N)$ $Q$ periodic implies $\int_Q \operatorname{div} g=0$? I have not checked. I think that a density argument will give the result, but these are delicate matters.
May 10	answered	$g=(g_1,...,g_N)$ $Q$ periodic implies $\int_Q \operatorname{div} g=0$?
May 9	answered	Prove that $\phi: \mathbb{R}^2 \rightarrow \mathbb{R}$ is Lipschitz
May 8	answered	partial differential equations and particular solutions
May 2	answered	Looking for a first order perturbation of the Laplacian having 0 in its spectrum
May 2	comment	Looking for a first order perturbation of the Laplacian having 0 in its spectrum What are the regularity conditions on $b$?
Apr 29	comment	Real Analysis (derivative) Right derivative is not always the same as right limit of the derivative.
Apr 29	comment	For which $x$ values this series $\sum_{n=1}^{\infty}\frac 1n \cos^2(nx)$ is convergent. Dirichlet's criterion shows that $\sum_{n=1}^\infty\cos(2nx)/n$ converges if $x\ne2k\pi$, $k\in\mathbb{Z}$.
Apr 28	answered	For which $x$ values this series $\sum_{n=1}^{\infty}\frac 1n \cos^2(nx)$ is convergent.
Apr 26	comment	Determing sign of alternating series Then it will be negative for small $z$.
Apr 26	comment	How to show that $u$ and $v$ have continuous partial derivatives at $(x_0,y_0)?$ I think it is clear I meant $f(0)=0$.
Apr 26	comment	How to show that $u$ and $v$ have continuous partial derivatives at $(x_0,y_0)?$ Yes. In my counterexample $f$ is differentiable only at $z=0$.
Apr 26	answered	How to show that $u$ and $v$ have continuous partial derivatives at $(x_0,y_0)?$
Apr 26	reviewed	Approve suggested edit on Gap groups commands
Apr 25	answered	Determing sign of alternating series