{"id":40970,"date":"2024-09-25T09:32:34","date_gmt":"2024-09-25T09:32:34","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85-%d8%a8%d9%88%d8%af%d9%86-%d8%af%d8%b1-%d9%86%d8%b2%d8%af%db%8c%da%a9%db%8c-%d9%85\/"},"modified":"2024-09-25T09:32:36","modified_gmt":"2024-09-25T09:32:36","slug":"%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85-%d8%a8%d9%88%d8%af%d9%86-%d8%af%d8%b1-%d9%86%d8%b2%d8%af%db%8c%da%a9%db%8c-%d9%85","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d8%aa%d8%b1%d8%ac%d9%85%d9%87-%d9%81%d8%a7%d8%b1%d8%b3%db%8c-%d9%85%d9%82%d8%a7%d9%84%d9%87-%d9%85%d9%86%d8%b8%d9%85-%d8%a8%d9%88%d8%af%d9%86-%d8%af%d8%b1-%d9%86%d8%b2%d8%af%db%8c%da%a9%db%8c-%d9%85\/","title":{"rendered":"\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645 \u0628\u0648\u062f\u0646 \u062f\u0631 \u0646\u0632\u062f\u06cc\u06a9\u06cc \u0645\u0631\u0632 \u062b\u0627\u0628\u062a \u0628\u0631\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0627\u0646\u062a\u0642\u0627\u0644"},"content":{"rendered":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nRegularity near the fixed boundary for transmission systems<\/td>\n<\/tr>\n
\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc \u0645\u0642\u0627\u0644\u0647 \u0645\u0646\u0638\u0645 \u0628\u0648\u062f\u0646 \u062f\u0631 \u0646\u0632\u062f\u06cc\u06a9\u06cc \u0645\u0631\u0632 \u062b\u0627\u0628\u062a \u0628\u0631\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0627\u0646\u062a\u0642\u0627\u0644<\/td>\n<\/tr>\n
\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\nAlessio Figalli, Somayeh Khademloo, Sunghan Kim, Henrik Shahgholian<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\nPDF<\/td>\n<\/tr>\n
\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u062a\u062d\u0648\u06cc\u0644\u06cc <\/td>\n\u062a\u0631\u062c\u0645\u0647 \u0641\u0627\u0631\u0633\u06cc<\/td>\n<\/tr>\n
\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 <\/td>\n\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\n<\/tr>\n
\u0646\u062d\u0648\u0647 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 <\/td>\n\u062f\u0648 \u062a\u0627 \u0633\u0647 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634 (\u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u062f\u0627\u0646\u0644\u0648\u062f\u06cc)<\/td>\n<\/tr>\n
\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n11<\/td>\n<\/tr>\n
\u0644\u06cc\u0646\u06a9 \u062f\u0627\u0646\u0644\u0648\u062f \u0631\u0627\u06cc\u06af\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n\u062f\u0627\u0646\u0644\u0648\u062f \u0645\u0642\u0627\u0644\u0647<\/a><\/td>\n<\/tr>\n
\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a <\/td>\nAnalysis of PDEs,\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 PDES ,<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a <\/td>\nSubmitted 7 March, 2024; originally announced March 2024. , Comments: In honor of Nina Nikolaevna Uraltseva for her 90th birthday<\/td>\n<\/tr>\n
\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n\u0627\u0631\u0633\u0627\u0644 7 \u0645\u0627\u0631\u0633 2024 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0645\u0627\u0631\u0633 2024 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f. \u060c \u0646\u0638\u0631\u0627\u062a: \u0628\u0647 \u0627\u0641\u062a\u062e\u0627\u0631 \u0646\u06cc\u0646\u0627 \u0646\u06cc\u06a9\u0648\u0644\u0627\u0648\u0646\u0627 \u0627\u0648\u0631\u0627\u0644\u062a\u0633\u0648\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u062f 90 \u0633\u0627\u0644\u06af\u06cc<\/td>\n<\/tr>\n
\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u067e\u0627\u06cc\u06af\u0627\u0647 \u0647\u0627\u06cc \u0639\u0644\u0645\u06cc <\/td>\n\n INSPIRE HEP<\/a>
\n
\n NASA ADS<\/a>
\n
\n Google Scholar<\/a>
\n
\n Semantic Scholar<\/a>
\n
\n arXiv<\/a><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\r\n\r\n \r\n \r\n \r\n \r\n
\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n <\/tr>\r\n
\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n <\/tr>\r\n\t
\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 <\/td>\r\n \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n <\/tr>\r\n\t\t
\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 <\/td>\r\n \u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n <\/tr>\r\n<\/table>\r\n\r\n\n

\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n

Given $\u03a9\\subset \\mathbb{R}^n$ with $n\\geq 2$, $D\\subset \u03a9$ open, and $u:\u03a9\\to \\mathbb{R}^m$, we study elliptic systems of the type $$ {\\rm div} \\big( ( A + (B- A)\u03c7_D)\\nabla u\\big) = 0 \\quad \\text{in $\u03a9\\cap B_1$,} $$ for some uniformly elliptic tensors $A$ and $B$ with H\u00f6lder continuous entries. We show that, given appropriate boundary data, the Lipschitz regularity of $u$ inside $B_1 \\cap D$ is transmitted to $B_{1\/2}\\cap \u03a9$ up to the boundary of $\u03a9$. This corresponds to the boundary counterpart of the interior regularity results in Figalli-Kim-Shahgholian, Nonlinear Anal. 2022.<\/p>\n

\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 $ \u03c9 \\ subset \\ mathbb {r}^n $ \u0628\u0627 $ n \\ geq 2 $ \u060c $ d \\ subset \u03c9 $ \u0628\u0627\u0632 \u060c \u0648 $ u: \u03c9 \\ to \\ mathbb {r}^m $ \u060c \u0645\u0627 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0631\u0627 \u0645\u0637\u0627\u0644\u0639\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645\u0646\u0648\u0639 $ $ {\\ rm div} \\ big ((a + (b- a) \u03c7_d) \\ nabla u \\ big) = 0 \\ quad \\ text {in $ \u03c9 \\ cap b_1 $ \u060c} $ $ \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u06cc \u0627\u0632 \u06cc\u06a9\u0646\u0648\u0627\u062e\u062a\u06cc \u0628\u06cc\u0636\u0648\u06cc \u06cc\u06a9\u0646\u0648\u0627\u062e\u062aTensors $ A $ \u0648 $ B $ \u0628\u0627 \u0648\u0631\u0648\u062f\u06cc \u0647\u0627\u06cc \u0645\u062f\u0627\u0648\u0645 H\u00f6lder.\u0645\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u060c \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u062f\u0627\u062f\u0647 \u0647\u0627\u06cc \u0645\u0631\u0632\u06cc \u0645\u0646\u0627\u0633\u0628 \u060c \u0645\u0646\u0638\u0645 \u0628\u0648\u062f\u0646 Lipschitz $ u $ \u062f\u0631 \u062f\u0627\u062e\u0644 $ b_1 \\ cap d $ \u0628\u0647 $ b_ {1\/2} \\ cap \u03c9 $ \u062a\u0627 \u0645\u0631\u0632 $ \u03c9 $ \u0645\u0646\u062a\u0642\u0644 \u0645\u06cc \u0634\u0648\u062f.\u0627\u06cc\u0646 \u0645\u0637\u0627\u0628\u0642 \u0628\u0627 \u0647\u0645\u062a\u0627\u06cc \u0645\u0631\u0632\u06cc \u0627\u0632 \u0646\u0638\u0645 \u062f\u0627\u062e\u0644\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0641\u06cc\u06af\u0627\u0644\u06cc-\u06a9\u06cc\u0645-\u0634\u0627\u0647\u0644\u06cc\u0627\u0646 \u060c \u0645\u0642\u0639\u062f \u063a\u06cc\u0631\u062e\u0637\u06cc \u0627\u0633\u062a.2022<\/p>\n\r\n\r\n \r\n \r\n \r\n \r\n
\u0641\u0631\u0645\u062a \u0627\u0631\u0627\u0626\u0647 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u062a\u062d\u0648\u06cc\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f<\/td>\r\n <\/tr>\r\n
\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 <\/td>\r\n \u0628\u06cc\u0646 2 \u062a\u0627 3 \u0631\u0648\u0632 \u067e\u0633 \u0627\u0632 \u062b\u0628\u062a \u0633\u0641\u0627\u0631\u0634<\/td>\r\n <\/tr>\r\n\t
\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 <\/td>\r\n \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627. \u0645\u0642\u0627\u0644\u0647 \u0641\u0642\u0637 \u062a\u0648\u0633\u0637 \u0645\u062a\u0631\u062c\u0645\u06cc\u0646 \u0628\u0627 \u0645\u062f\u0631\u06a9 \u062f\u0627\u0646\u0634\u06af\u0627\u0647\u06cc \u0645\u062a\u0631\u062c\u0645\u06cc \u062a\u0631\u062c\u0645\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/td>\r\n <\/tr>\r\n\t\t
\u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 <\/td>\r\n \u06a9\u0644\u06cc\u0647 \u062c\u062f\u0627\u0648\u0644 \u0648 \u0641\u0631\u0645\u0648\u0644 \u0647\u0627 \u0646\u06cc\u0632 \u062f\u0631 \u0641\u0627\u06cc\u0644 \u062a\u062d\u0648\u06cc\u0644\u06cc \u0648\u0631\u062f \u062f\u0631\u062c \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/td>\r\n <\/tr>\r\n<\/table>\r\n\r\n\n","protected":false},"excerpt":{"rendered":"

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