Nonlocal problems with local boundary conditions. I: Function spaces and variational principles
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Publication:6571027
DOI10.1137/23m1588111zbMATH Open1545.4901MaRDI QIDQ6571027
Publication date: 11 July 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
boundary-value problemsnonlocal equationsfractional Sobolev spacesgamma convergencenonlocal function spacesvanishing horizonheterogeneous localization
Variational inequalities (49J40) Integro-partial differential equations (45K05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational principles in infinite-dimensional spaces (58E30)
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Related Items (2)
\(\varGamma\)-convergence of nonlocal Dirichlet energies with penalty formulations of Dirichlet boundary data ⋮ Nonlocal problems with local boundary conditions. II: Green's identities and regularity of solutions
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