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What does $u^+$ mean?
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)What does $(x, y) in mathbbR^2$ mean?A Question about the strong maximum principle in Evans Partial differential equationWhat does$ |x|_infty$ mean?What does this notation mean? $∂df^2 / ∂x$How does one get $u_y_ky_k(x_0)leq 0$ in the proof of the weak maximum principle?Example for $max_overlineU u<max_partial U max(u,0)$ in the statement of weak maximum principleWhat does it mean to say an ODE state vector is finite dimensional?What does $nabla_L$ mean?What does $langleoverline4rangle$ mean?What does $|D^alpha u|$ and $|D^alpha u|$ mean in Evans' PDE book?
$begingroup$
I see the following statement in Evans' book on PDEs:
If $Luleq 0$ in $U$, then $$max_overlineU u=max_partialoverlineU u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
pde notation
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
$endgroup$
add a comment |
$begingroup$
I see the following statement in Evans' book on PDEs:
If $Luleq 0$ in $U$, then $$max_overlineU u=max_partialoverlineU u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
pde notation
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
$endgroup$
$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59
add a comment |
$begingroup$
I see the following statement in Evans' book on PDEs:
If $Luleq 0$ in $U$, then $$max_overlineU u=max_partialoverlineU u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
pde notation
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
$endgroup$
I see the following statement in Evans' book on PDEs:
If $Luleq 0$ in $U$, then $$max_overlineU u=max_partialoverlineU u^+$$
What does $u^+$ mean? Is it the set of points where $u$ is positive?
pde notation
pde notation
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
edited Apr 1 at 1:02
J. W. Tanner
4,8471420
4,8471420
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
asked Apr 1 at 0:47
fierydemonfierydemon
4,61022259
4,61022259
$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59
add a comment |
$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59
$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59
add a comment |
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$begingroup$
It is the positive part of $u$, $maxu,0$.
$endgroup$
– GReyes
Apr 1 at 0:57
$begingroup$
@GReyes- Thanks so much!
$endgroup$
– fierydemon
Apr 1 at 0:59