Mixing
Counterexample to dissipativity of generator
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Show that $Gf=f'''$ is not a generator on $D(G)=C^3_0(mathbb{R})$.
Clearly, the condition that should fail here is dissipativity, i.e. I need to find an $fin D(G)$ s.t. $lvert(lambda -G)frvert < lambda lvert f rvert$. I am at loss and would appreciate any hints for a counterexample.
functional-analysis operator-theory examples-counterexamples
edited 23 hours ago
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up vote
0
down vote
favorite
Show that $Gf=f'''$ is not a generator on $D(G)=C^3_0(mathbb{R})$.
Clearly, the condition that should fail here is dissipativity, i.e. I need to find an $fin D(G)$ s.t. $lvert(lambda -G)frvert < lambda lvert f rvert$. I am at loss and would appreciate any hints for a counterexample.
functional-analysis operator-theory examples-counterexamples
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
asked yesterday
blst
687412
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Show that $Gf=f'''$ is not a generator on $D(G)=C^3_0(mathbb{R})$.
Clearly, the condition that should fail here is dissipativity, i.e. I need to find an $fin D(G)$ s.t. $lvert(lambda -G)frvert < lambda lvert f rvert$. I am at loss and would appreciate any hints for a counterexample.
functional-analysis operator-theory examples-counterexamples
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
asked yesterday
blst
687412
Show that $Gf=f'''$ is not a generator on $D(G)=C^3_0(mathbb{R})$.
Clearly, the condition that should fail here is dissipativity, i.e. I need to find an $fin D(G)$ s.t. $lvert(lambda -G)frvert < lambda lvert f rvert$. I am at loss and would appreciate any hints for a counterexample.
functional-analysis operator-theory examples-counterexamples
functional-analysis operator-theory examples-counterexamples
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
asked yesterday
blst
687412
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
asked yesterday
blst
687412
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
edited 23 hours ago
GNUSupporter 8964民主女神 地下教會
12.3k72343
12.3k72343
asked yesterday
blst
687412
asked yesterday
blst
687412
asked yesterday
blst
687412
687412
add a comment |
add a comment |
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