Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Jan W. Cholewa"'
Publikováno v:
Journal of Evolution Equations. 23
We analyse self-similarity properties related to linear elliptic and evolutionary problems involving homogeneous operators in several spaces including measures. We employ these techniques to analyse in particular 2mth-order diffusion equations and th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6a58eb546289180c9ca90507e54c9f5
https://doi.org/10.1007/s00028-023-00893-z
https://doi.org/10.1007/s00028-023-00893-z
Autor:
Jan W. Cholewa, Tomasz Dlotko
The study of dissipative equations is an area that has attracted substantial attention over many years. Much progress has been achieved using a combination of both finite dimensional and infinite dimensional techniques, and in this book the authors e
Autor:
Radoslaw Czaja, Jan W. Cholewa
Publikováno v:
Journal of Evolution Equations. 20:485-515
In this work, we examine first-order lattice dynamical systems, which are discretized versions of reaction–diffusion equations on the real line. We prove the existence of a global attractor in $$\ell ^2$$ℓ2, and using the method by Chueshov and L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bac2d315cd2f19a891b8f9497f56cd73
https://doi.org/10.1007/s00028-019-00535-3
https://doi.org/10.1007/s00028-019-00535-3
Autor:
Jan W. Cholewa, Radoslaw Czaja
Publikováno v:
Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics ISBN: 9783030503017
We consider a Cauchy problem for a dissipative fourth order parabolic equation in \(\mathbb {R}^N\) with a general potential. Using the method by Chueshov and Lasiecka we estimate from above fractal dimension of a global attractor. We also show that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e3f4ea9d4a8b19197e37a9bd0f885ed
https://doi.org/10.1007/978-3-030-50302-4_13
https://doi.org/10.1007/978-3-030-50302-4_13
Publikováno v:
E-Prints Complutense. Archivo Institucional de la UCM
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In this paper, we analyze evolution problems associated to homogenous operators. We show that they have an homogenous associated semigroup of solutions that must satisfy some sharp estimates when acting on homogenous spaces and on the associated frac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8fb178da563d2b4abedf10a8e278a57
https://doi.org/10.1142/s0219199720500704
https://doi.org/10.1142/s0219199720500704
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this paper we consider a semilinear damped wave equation with supercritically fast growing nonlinearity using parabolic approximations governed by the fractional powers of the wave operator.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0e891f1ff1ae30c6c1229f1199159bf
https://doi.org/10.1016/j.jmaa.2017.01.024
https://doi.org/10.1016/j.jmaa.2017.01.024
Publikováno v:
Journal of Mathematical Analysis and Applications. 449:1-45
Linear 2m-th order uniformly elliptic operators are shown to generate semigroups of bounded linear operators with suitable smoothing properties in scales of locally uniform Bessel's and Lebesgue's spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3bffc7621b4a9bda5273c9542d46096
https://doi.org/10.1016/j.jmaa.2016.11.085
https://doi.org/10.1016/j.jmaa.2016.11.085
Autor:
Alexandre N. Carvalho, Jan W. Cholewa
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
The article is devoted to semilinear Schrodinger equations in bounded domains. A unified semigroup approach is applied following a concept of Trotter-Kato approximations.Critical exponents are exhibited and global solutions are constructed for nonlin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7b0adb747bb2b54b9a34cb9210dc16e
Autor:
Jan W. Cholewa
Publikováno v:
Wiadomości Matematyczne. 38
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::308fc8312df7e464784f456dfefeee3f
https://doi.org/10.14708/wm.v38i01.4902
https://doi.org/10.14708/wm.v38i01.4902
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 104:50-74
Due to the lack of the maximum principle the analysis of higher order parabolic problems in RN is still not as complete as the one of the second-order reaction-diffusion equations. While the critical exponents and then a dissipative mechanism in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::102cc95e26653e89c967faf8020e6eaf
https://doi.org/10.1016/j.na.2014.03.013
https://doi.org/10.1016/j.na.2014.03.013