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Analyst
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awarded
 Yearling
accepted
Interchange the deterministic and stochastic integrals
revised
Interchange the deterministic and stochastic integrals
deleted 3 characters in body
revised
Interchange the deterministic and stochastic integrals
edited body
asked
Interchange the deterministic and stochastic integrals
comment
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
@Mark This is exactly what I am looking for. Thank you so much for your help!
comment
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
@Mark That makes a big difference. Indeed, we can pick $C=\alpha=1$ in case $p=1$.
revised
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
deleted 34 characters in body
revised
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
edited body
revised
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
edited title
asked
Can we control the Wasserstein metric between $\mu$ and $\nu$ by their moment difference?
accepted
Continuity equation $\partial_t \mu_t+\operatorname{div} (v_t \mu_t)=0$: are these two notions of weak solution equivalent?
comment
Continuity equation $\partial_t \mu_t+\operatorname{div} (v_t \mu_t)=0$: are these two notions of weak solution equivalent?
I have added a screenshot of (\ref{2}). The author of (2) possibly meant (\ref{3}) but had a typo in the intended space of test functions.
revised
Continuity equation $\partial_t \mu_t+\operatorname{div} (v_t \mu_t)=0$: are these two notions of weak solution equivalent?
added 163 characters in body
comment
Continuity equation $\partial_t \mu_t+\operatorname{div} (v_t \mu_t)=0$: are these two notions of weak solution equivalent?
Thank you @Daniele so much for your editorial service!
asked
Continuity equation $\partial_t \mu_t+\operatorname{div} (v_t \mu_t)=0$: are these two notions of weak solution equivalent?
comment
The set of measurable functions together with convergence in measure is a completely metrizable abelian topological group
@NateEldredge Thank you so much for elaboration!
comment
Is the embedding $i: (L^p_\text{loc} (Y), \| \cdot \|_{L^p_\text{loc}}) \to (L^0(Y), \hat \rho)$ continuous or Borel measurable?
@IosifPinelis I have moved the third question to a separate thread. The first two questions are very related, so I keep them together.
revised
Is the embedding $i: (L^p_\text{loc} (Y), \| \cdot \|_{L^p_\text{loc}}) \to (L^0(Y), \hat \rho)$ continuous or Borel measurable?
deleted 64 characters in body
asked
Is $L^p_\text{loc} (Y)$ dense in $(L^0(Y), \hat \rho)$?
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