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pro vyhledávání: '"Juraj Húska"'
Autor:
Juraj Húska
Publikováno v:
Transactions of the American Mathematical Society. 360:4639-4679
We consider the Dirichlet problem for linear nonautonomous second order parabolic equations of nondivergence type on general bounded domains with bounded measurable coefficients. Under such minimal regularity assumptions, we establish the existence o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60475abe9eb978772a035cae99ded80d
https://doi.org/10.1090/s0002-9947-08-04413-9
https://doi.org/10.1090/s0002-9947-08-04413-9
Autor:
Peter Poláčik, Juraj Húska
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 20:81-113
We consider linear nonautonomous second order parabolic equations on $\R^N$. Under an instability condition, we prove the existence of two complementary Floquet bundles, one spanned by a positive entire solution - the principal Floquet bundle, the ot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9a85b678c65373350becb712a78e94d
https://doi.org/10.3934/dcds.2008.20.81
https://doi.org/10.3934/dcds.2008.20.81
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 24:711-739
We consider the Dirichlet problem for linear nonautonomous second order parabolic equations with bounded measurable coefficients on bounded Lipschitz domains. Using a new Harnack-type inequality for quotients of positive solutions, we show that each
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bb2e9c28327b1f87d76b04faec1fbce
https://doi.org/10.1016/j.anihpc.2006.04.006
https://doi.org/10.1016/j.anihpc.2006.04.006
Autor:
Juraj Húska
Publikováno v:
Journal of Differential Equations. 226:541-557
We consider the oblique derivative problem for linear nonautonomous second order parabolic equations with bounded measurable coefficients on bounded Lipschitz cylinders. We derive an optimal elliptic-type Harnack inequality for positive solutions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3761af73586ff9561fa845531a8a2f88
https://doi.org/10.1016/j.jde.2006.02.008
https://doi.org/10.1016/j.jde.2006.02.008
Autor:
Juraj Húska, Peter Poláčik
Publikováno v:
Journal of Dynamics and Differential Equations. 16:347-375
We consider linear nonautonomous second order parabolic equations on bounded domains subject to Dirichlet boundary condition. Under mild regularity assumptions on the coefficients and the domain, we establish the existence of a principal Floquet bund
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::871624b102fab97ef1c92c2f791a6b64
https://doi.org/10.1007/s10884-004-2784-8
https://doi.org/10.1007/s10884-004-2784-8