A sufficient condition for a blow-up in the space of absolutely continuous functions for the very weak solution
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Publication:253088
DOI10.1007/s00245-015-9297-1zbMath1343.35114OpenAlexW2087447152MaRDI QIDQ253088
Publication date: 8 March 2016
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-015-9297-1
Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)
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Cites Work
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- New Hardy inequalities and behaviour of linear elliptic equations
- Blow up for \(u_ t- \Delta u=g(u)\) revisited
- Gradient blow-up in Zygmund spaces for the very weak solution of a linear elliptic equation
- On the differentiability of very weak solutions with right-hand side data integrable with respect to the distance to the boundary
- An elliptic semilinear equation with source term involving boundary measures: the subcritical case
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