2024 Tus sau: Elizabeth Oswald | [email protected]. Kawg hloov kho: 2024-01-13 00:07
Cov no yog siv los ua pov thawj Sobolev embedding theorem, muab suav nrog ntawm qee qhov chaw Sobolev, thiab Rellich-Kondrachov theorem qhia tias nyob rau hauv cov xwm txheej muaj zog me ntsis qee qhov Sobolev yog compactlyembedded hauv lwm tus. … Lawv muaj npe tom qab Sergei Lvovich Sobolev.
Puas Sobolev chaw ua tiav?
Sobolev chaw yog qhov chaw vector ntawm kev ua haujlwm nruab nrog cov qauv uas yog kev sib txuas ntawm cov qauv ntawm kev ua haujlwm nws tus kheej nrog rau nws cov derivatives mus txog qhov kev txiav txim. Cov derivatives yog to taub nyob rau hauv ib tug haum tsis muaj zog kev txiav txim siab los ua qhov chaw tiav, yog li Banach chaw.
Puas Sobolev chaw Banach chaw?
Sobolev qhov chaw uas tsis yog tus lej k
Lawv are Banach qhov dav dav thiab Hilbert qhov chaw tshwj xeeb p=2.
H1 qhov chaw yog dab tsi?
Qhov chaw H1(Ω) yog ib qhov chaw Hilbert sib cais. Pov thawj. Kom meej meej, H1 (Ω) yog qhov chaw ua ntej Hilbert. Let J: H1(Ω) → ⊕ n.
Yog Sobolev qhov chaw hloov pauv?
Cov chaw Sobolev, ib yam li Lp chaw, yog reflexive thaum 1<p<∞.
Pom zoo:
Dab tsi yog qhov tsis sib xws hauv kev npau taws ntau yog qhov kev nkag siab zoo tshaj plaws?
Paradox: Ib qho kev tsis sib haum xeeb yog cov lus uas yuav zoo li tsis sib haum xeeb tab sis tuaj yeem muaj tseeb. Lub npe ntawm zaj paj huam, "Muaj Madness yog Divinest Sense" yog ib tug paradox vim nws contradicts nws tus kheej.
Kev tsis sib xws thiab kev tsis ncaj ncees yog tib yam?
"Kev tsis ncaj ncees thiab kev tsis sib xws: cov ntsiab lus no qee zaum tsis meej pem, tab sis tsis sib hloov, kev tsis ncaj ncees yog hais txog tsis ncaj ncees, zam qhov sib txawv tshwm sim los ntawm kev tswj hwm tsis zoo, kev noj nyiaj txiag lossis kev coj noj coj ua thaum tsis sib xws yooj yim yog hais txog kev faib khoom tsis sib xws ntawm kev noj qab haus huv lossis kev noj qab haus huv vim yog caj ces lossis… Cov piv txwv ntawm kev tsis ncaj ncees yog dab tsi?
Kev sib raug zoo tsis sib xws cuam tshuam li cas rau kev hloov pauv?
Raws li qhov kev ntxub ntxaug yog cov noob caj noob ces, evolution feem ntau yog qhov tshwm sim. Kev sib tw tsis sib xws tuaj yeem ua raws li cov txheej txheem ntxiv rau kev xaiv ntuj tsim kom muaj kev hloov pauv. Txhua qhov kev tawm mus los ntawm kev sib raug zoo sib xws ua rau muaj kev sib npaug ntawm cov genotypes hauv cov pejxeem.
Vim li cas cov khoom seem thiab qhov tsis txaus ua piv txwv ntawm kev tsis sib xws?
Vim li cas cov khoom seem thiab qhov tsis txaus ua piv txwv ntawm kev tsis sib xws? Vim yog tias koj muaj qhov seem thiab muaj ntau dhau lawm ces qhov xav tau tsawg dhau tsis tau raws li qhov khoom muab. Thiab thaum muaj qhov tsis txaus tshaj qhov ntau ces qhov xav tau ntau dhau los ua kom tau raws li cov khoom muab.
Puas yog kev sib tw tsis sib xws tib yam li kev sib xyaw ua ke?
Kev txwv tsis pub sib tw yog qee zaum xav tias yog tshwj xeeb ntawm kev sib xyaw inhibition. Hauv kev sib xyaw inhibition, tus inhibitor khi rau ib qho chaw allosteric, piv txwv li ib qhov chaw sib txawv ntawm qhov chaw nquag uas lub substrate khi.
