Dependance of constants on size of the domain [on hold]
$begingroup$
Let $B$ be the unit ball.
Suppose I have a constant $C>0$ so that $forall u in C^{1}_{0}(B)$:
$int_{B} |D^{2}u|^{2} le C int_{B}|Delta u|^{2} $
Can I get the same constant for a larger Ball $B_{2}$ and thus for any radius?
Any help would be appreciated!
analysis
asked Jan 7 at 11:55
Falc14Falc14
12
$endgroup$
put on hold as off-topic by Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus Jan 8 at 3:28
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Let $B$ be the unit ball.
Suppose I have a constant $C>0$ so that $forall u in C^{1}_{0}(B)$:
$int_{B} |D^{2}u|^{2} le C int_{B}|Delta u|^{2} $
Can I get the same constant for a larger Ball $B_{2}$ and thus for any radius?
Any help would be appreciated!
analysis
asked Jan 7 at 11:55
Falc14Falc14
12
$endgroup$
put on hold as off-topic by Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus Jan 8 at 3:28
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
$begingroup$
Let $B$ be the unit ball.
Suppose I have a constant $C>0$ so that $forall u in C^{1}_{0}(B)$:
$int_{B} |D^{2}u|^{2} le C int_{B}|Delta u|^{2} $
Can I get the same constant for a larger Ball $B_{2}$ and thus for any radius?
Any help would be appreciated!
analysis
asked Jan 7 at 11:55
Falc14Falc14
12
$endgroup$
Let $B$ be the unit ball.
Suppose I have a constant $C>0$ so that $forall u in C^{1}_{0}(B)$:
$int_{B} |D^{2}u|^{2} le C int_{B}|Delta u|^{2} $
Can I get the same constant for a larger Ball $B_{2}$ and thus for any radius?
Any help would be appreciated!
analysis
analysis
asked Jan 7 at 11:55
Falc14Falc14
12
asked Jan 7 at 11:55
Falc14Falc14
12
asked Jan 7 at 11:55
Falc14Falc14
12
asked Jan 7 at 11:55
Falc14Falc14
12
asked Jan 7 at 11:55
Falc14Falc14
12
12
put on hold as off-topic by Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus Jan 8 at 3:28
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus Jan 8 at 3:28
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – Nosrati, Adrian Keister, José Carlos Santos, KReiser, Leucippus
If this question can be reworded to fit the rules in the help center, please edit the question.
add a comment |
add a comment |
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