:: Library Catalog

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Bibliographische Detailangaben
Hauptverfasser:	Mazon, J. M., Toledo, J.
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Analysis of PDEs
Online-Zugang:	https://arxiv.org/abs/2403.02900
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Doubly Nonlinear Diffusion Equations on Metric Graphs
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Evolution problem for the $1$-Laplacian with mixed boundary conditions
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Evolution problems with perturbed $1$-Laplacian type operators on random walk spaces
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Two dimensional graph model for epitaxial crystal growth with adatoms
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$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces
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Gelfand-Type problems in Random Walk Spaces
von: Mazon, J. M., et al.
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Evolution problems of Leray-Lions type with nonhomogeneous Neumann boundary conditions in metric random walk spaces
von: Mazón, José M., et al.
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A duality-based approach to gradient flows of linear growth functionals
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On the equivalence of Lp-parabolicity and Lq-liouville property on weighted graphs
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Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs
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Uniqueness in weighted $l^p$ spaces for the Schrödinger equation on infinite graphs
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Dependence on parameters of solutions for a generalized poly-Laplacian system on weighted graphs
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Infinitely many solutions for two generalized poly-Laplacian systems on weighted graphs
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Sharp Criteria for the existence of positive solutions to Lane-Emden-type inequalities on weighted graphs
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Piecewise-linear Ricci curvature flows on weighted graphs
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Existence and convergence of ground state solutions for a $(p,q)$-Laplacian system on weighted graphs
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Two-phase free boundary problems for operators with nonstandard growth
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Two uniqueness results in the inverse boundary value problem for the weighted p-Laplace equation
von: Cârstea, Cătălin I., et al.
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Two nontrivial solutions for a nonhomogeneous quasilinear elliptic system with sign-changing weight functions
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Analysis of non-overlapping models with a weighted infinite delay
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The graph limit for a pairwise competition model
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The incompressible limit of an inhomogeneous model of tissue growth
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An Allen-Cahn tumor growth model with temperature
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Non-negative Ricci curvature and Minimal graphs with linear growth
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Veröffentlicht: (2021)

Phase-field approximation of an epitaxial growth model with adatoms
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Veröffentlicht: (2024)

The continuous version of the generalized exchange-driven growth model
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A new asymptotic model of multilayer tumor growth
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An upper bound on the growth of minimal graphs
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Extrapolation of compactness on weighted mixed Lebesgue spaces
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Brouwer degree for Chern-Simons Higgs models on finite graphs
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Chemotaxis models with mixed mechanisms: boundedness in growth-dominated regimes
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Existence and nonexistence of minimizer for Thomas-Fermi-Dirac-Von Weizsäcker model on lattice graph
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On a Mullins-Sekerka model for the growth of active droplets modelling protocells: Stability analysis and numerical computations
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Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models
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On a phenotype-structured phase-field model of nutrient-limited tumour growth
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Joint inviscid, incompressible, and continuous phenotype limit in nonlocal models of tissue growth
von: Lai, Chen-Chih, et al.
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Zaremba problem with degenerate weights
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On the weighted logarithmic potential operator
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Directional flow in perivascular networks: Mixed finite elements for reduced-dimensional models on graphs
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A rigorous approach to the sharp interface limit for phase-field models of tumor growth
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if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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