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visits member for 1 year, 11 months
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6h
answered Example of a function $u\in L^\infty(0,T,H^1)$ such that $u_t\notin L^\infty(0,T,H^1)$
6h
comment Example of a function $u\in L^\infty(0,T,H^1)$ such that $u_t\notin L^\infty(0,T,H^1)$
Could you please say me what is the definition of $u_t$?
8h
comment Some properties of points with Lebesgue density equal to $1$.
@BillDubuque, please sir, would you be so kind to verify if my question is better now? Thank you
8h
revised Some properties of points with Lebesgue density equal to $1$.
added 1062 characters in body
11h
comment About composition of Holder functions.
Maybe you just misunderstood something?
12h
comment About composition of Holder functions.
I think that $\alpha\beta$ is optimal. Consider, for example, the functions $f,g:[0,1]\to \mathbb{R}$ defined by $f(x)=x^\alpha$ and $g(x)=x^\beta$. Now the composition $f\circ g$ belongs to $C^{\alpha\beta}$, however, it does not belong to $C^\gamma$ for any $\gamma>\alpha\beta$.
13h
revised Confused over the solution of partial differential equation $xu_x+u_t=0$
deleted 701 characters in body; edited title
13h
reviewed Leave Closed continuous function-constant
13h
reviewed Leave Closed How can I solve this equations?
13h
reviewed Close Can the inequality $a^3 + b^3 + c^3 \ge a^2b + ac^3 + b^2c$ be derived from arithmetic-geometric means?
15h
reviewed Close Which software is better to generate optical vortex?
15h
reviewed Close Probability of dice roll (board games)
15h
reviewed Close distribution of books among students
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reviewed Close Disprove the statement given below
15h
reviewed Close continuous function-constant
15h
reviewed Close Construction of a small but fat set?
15h
reviewed Close How the Jacobian is connected to the movement of particle from one domain to another?
18h
comment Example of a function $u\in L^\infty(0,T,H^1)$ such that $u_t\notin L^\infty(0,T,H^1)$
Have you tried something?
1d
reviewed Close Infinite sum of all natural numbers and solution of infinite sum of positive odds and evens
1d
reviewed Close Geometry cube problems