Diaforikes Eksiswseis Me Merikes Paragogous

June 22, 2018 | Author: Τέλης Σαββίδης | Category: N/A


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Diaforikèc Exis¸seic Me Merikèc Parag¸goucIoÔnioc 2011 JEMA 1: Poiˆ einai h lÔsh tou probl matoc twn arqik¸n ut + bDu = f, u=g , epi opou D eÐnai h klÐsh wc JEMA 2o: tim¸n Rn × (0, +∞) R × {t = 0} ston tou n proc tic qwrikèc suntetagmènec tou Rn Z Φ(x − y)f (y)dy u(x) = 'Estw Rn Laplace . JEMA 3o: jer .(DÐnetai ìti opou D ìti an h eÐnai a (I) Melet ste thn exÐswsh thc thn exÐswsh twn kumˆtwn F eÐnai h jemeli¸dhc o telest c tou lÔsh Laplace armonik  opou a kai fragmènh poludeÐkthc jermìthtac ston ston tìte h thc ston u eÐnai exÐ- Rn sta- tˆxewc k) Rn R N. MantoÔbaloc Α (II) Melet ste −∆(u)− = f1 u : Rn → R ck |D u(x0 )| ≤ rn+k ||u||L1 (B(c0 ,r)) DeÐxte JEMA 4o: DeÐxte oti opou Α πο πα γο "Π κλ ρε λ εισ ύε αν τι τα όδ κά ι δ ιο Δ ια ς Έ ικ ρο μ αιώ πά πο μ λο ρα ατ υ ς" α η πώ λη ση swshc tou 1
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