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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations (Chapman & Hall/CRC Monographs and Research Notes in Mathematics Book 3)
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Blow-up for higher-order parabolic, hyperbolic, dispersion and schrodinger equations shows how four types of higher-order nonlinear evolution partial differential equations (pdes) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear pdes.
Hayakawa, on nonexistence of global solutions of some semilinear parabolic differential equations, proc. John, blow-up of solutions of nonlinear wave equations in three space dimensions, manuscripta math.
With dirichlet bc i recomend evan's book (chapter 9, i think).
Where solutions blow-up for any arbitrarily small nonnegative nontrivial initial data). Global solutions of higher-order semilinear parabolic equations.
Blow-up for higher-order parabolic, hyperbolic, dispersion and schrodinger equations: amazon.
Title: construction of type i blowup solutions for a higher order semilinear parabolic equation authors: tej-eddine ghoul van tien nguyen hatem zaag (submitted on 17 may 2018).
Pohozaev, “existence and blow-up for higher-order semilinear parabolic equations: majorizing order-preserving operators”,.
In this paper, we derive blow-up rates for higher-order semilinear parabolic equations and systems. This procedure reduces the problems of blow-up rate to fujita-type theorems. In addition, we also give some new fujita-type theorems for higher-order semilinear parabolic equations and systems with the time variable on these results.
Blow-up for higher-order parabolic, hyperbolic, dispersion and schrödinger equations shows how four types of higher-order nonlinear evolution partial.
Blow up for higher order parabolic hyperbolic dispersion and schrodinger equations monographs and research notes in mathematics.
In this work we consider a nonlinear parabolic higher order partial differential equation that has been proposed as a model for epitaxial growth. This equation possesses both global-in-time solutions and solutions that blow up in finite time, where this blow-up is mediated by its hessian nonlinearity. Herein we further analyze its blow-up behaviour by building explicit solutions in the square.
Namely, we need to develop a parabolic version of the higher order boundary blow-up (elliptic) methods of [rs16b], and then combine this with appropriate interior estimates in order to get the ne regularity estimate for uup to the boundary.
Explicit blowing up solutions for a higher order parabolic equation with hessian nonlinearity carlos escudero submitted on 2021-03-03.
Finite time blow up and global solutions for semilinear parabolic equations with initial data at high energy level. A class of fourth-order parabolic equation with arbitrary initial energy.
18 sep 2014 blow-up for higher-order parabolic, hyperbolic, dispersion and schrodinger equations shows how four types of higher-order nonlinear.
Pdf html xml - blow-up of solutions for a quasilinear parabolic equation actually, equations of the above form are mathematical models occurring in studies of ground state solution for a fourth-order nonlinear elliptic problem.
Second, in order to prove global existence or finite time blow-up for corresponding semilinear equations, comparison principles cannot be used; for this reason,.
29 may 2014 winkler michael speaking at birs workshop, geometric aspects of semilinear elliptic and parabolic equations: recent advances and future.
Blow-up estimate higher-order semilinear parabolic equation superlinear growth regional blow-up blow-up behaviour 2m-th order semilinear parabolic equation uj ln jujj self-similar solution parabolic equation complex hamilton-jacobi equation following problem comparison approach nite non-zero measure continuous function formal asymptotic theory.
Foldes¨,liouville theorems, a priori estimates, and blow-up rates for solutions of indefinite super-linear parabolic problems, czechoslovak math.
“ on a spectrum of blow-up patterns for a higher-order semilinear parabolic equations,” proc.
Oswald, the blow-up time for higher order semilinear parabolic equations with small leading coefficients.
In this paper, we give some results on the blow-up behaviors of the solution to the mixed problem for some higher-order nonlinear hyperbolic and parabolic evolution equation in finite time. By introducing the “ blow-up factor ’’, we get some new conclusions, which generalize some results [4]-[5] [6].
Blow-up of the solution for some higher order hyperbolic and neutral evolution systems authors: ning chen, ji qian chen abstract: in this paper, we give some results on the blow-up behaviors of the solution to the mixed problem for some higher-order nonlinear hyperbolic and parabolic evolution equation in finite time.
Blow-up for higher-order parabolic, hyperbolic, dispersion and schrödinger equations shows how four types of higher-order nonlinear evolution partial differential equations (pdes) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear pdes.
10) existence of blow-up in such higher-order quasilinear parabolic equations is a reasonably well-understood phenomenon; see the references and approaches in [8,13,19] and mitidieri–pohozaev.
Pohozaev, existence and blow-up for higher-order semilinear parabolic equations: majorizing order-preserving operators,.
(2019) construction of type i blowup solutions for a higher order semilinear parabolic equation.
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