Search Results - dependence of solutions to des on initial and/or boundary data and/or on parameters of des~

The initial-boundary value problem for the non-barotropic compressible Euler equations: structural-stability and data dependence: The initial-boundary value problem for the non-barotropic compressible Euler equations: Structural-stability and data dependence

Authors: BEIRAO DA VEIGA, HUGO

Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 11:297-311

Subject Terms: structural stability, Boundary value problems for nonlinear first-order PDEs, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, 01 natural sciences, sharp data dependence, Second-order nonlinear hyperbolic equations, compressible inviscid fluids

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Access URL: http://www.numdam.org/item/AIHPC_1994__11_3_297_0.pdf
https://www.sciencedirect.com/science/article/abs/pii/S029414491630186X
http://ui.adsabs.harvard.edu/abs/1994AIHPC..11..297D/abstract
http://www.numdam.org/item/AIHPC_1994__11_3_297_0/
https://eudml.org/doc/78333
https://hdl.handle.net/11568/27148

Non-unicité des solutions d'une équation d'évolution non-linéaire: Non-unicité des solutions d'une équation d'évolution non- linéaire

Authors: Pierre Baras

Source: Annales de la faculté des sciences de Toulouse Mathématiques. 5:287-302

Subject Terms: Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, non-uniqueness, General existence and uniqueness theorems (PDE), semi-linear parabolic equation, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, infinite number of solutions, 01 natural sciences

File Description: application/xml

Access URL: http://archive.numdam.org/article/AFST_1983_5_5_3-4_287_0.pdf
https://afst.centre-mersenne.org/item/AFST_1983_5_5_3-4_287_0/
https://eudml.org/doc/73155
https://afst.centre-mersenne.org/item/10.5802/afst.600.pdf

Le domaine d'existence et le prolongement analytique des solutions des problèmes de Goursat et de Cauchy à données singulières. II. (Existence domain and analytic continuation for the solutions of Goursat and Cauchy problems with singular data. II)

Authors: Hamada, Yûsaku Takeuchi, Akira

Subject Terms: Cauchy problem, Goursat problem, continuation method, Initial value problems for linear higher-order PDEs, Analyticity in context of PDEs, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, singular data

File Description: application/xml

Access URL: https://zbmath.org/3942023

L'équation de Boltzmann avec terme de viscosité. Solutions globales sous des hypothèses faibles sur la condition initiale. (Boltzmann equation with viscosity term: global solutions under weak hypothesis on the initial condition)

Authors: Wieser, Wilfried

Subject Terms: global existence, Rarefied gas flows, Boltzmann equation in fluid mechanics, Initial-boundary value problems for second-order parabolic equations, Boltzmann equation with viscosity, non-negative solution, Existence of generalized solutions of PDE, initial-boundary-value problem, Initial value problems for second-order parabolic equations, periodicity, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

File Description: application/xml

Access URL: https://zbmath.org/3912870

Non-existence de solutions globales pour des équations des ondes non linéaires à données de Cauchy petites. (Non-existence of global solutions for some nonlinear wave equations with small Cauchy data)

Authors: Balabane, Mikhael

Subject Terms: global existence, nonlinear wave equations, non- existence, General existence and uniqueness theorems (PDE), global solutions, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, small Cauchy data, Second-order nonlinear hyperbolic equations

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Access URL: https://zbmath.org/3969195

Continuous dependence in L2 for discontinuous solutions of the viscous p-system: Continuous dependence in \(L^ 2\) for discontinuous solutions of the viscous \(p\)-system

Authors: David Hoff Roger Zarnowski

Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 11:159-187

Subject Terms: PDEs with low regular coefficients and/or low regular data, discontinuous solutions of the Navier-Stokes equations, continuous dependence, finite difference approximations, rates of convergence, Navier-Stokes equations, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

File Description: application/xml

Access URL: http://www.numdam.org/item/AIHPC_1994__11_2_159_0.pdf
https://zbmath.org/827001
https://doi.org/10.1016/s0294-1449(16)30190-1
https://ui.adsabs.harvard.edu/abs/1994AIHPC..11..159H/abstract
http://www.numdam.org/item/AIHPC_1994__11_2_159_0/
http://www.numdam.org/item/AIHPC_1994__11_2_159_0.pdf
https://www.sciencedirect.com/science/article/pii/S0294144916301901

Über das Verhalten der Lösung des Dirichletproblems am Rand des Gebietes, wenn der Rand zur KlasseC2αgehört: Über das Verhalten der Lösung des Dirichletproblems am Rand des Gebietes, wenn der Rand zur Klasse \(C^{2,\alpha}\) gehört

Authors: Manfred König

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 80:163-176

Subject Terms: Boundary value problems for second-order elliptic equations, Boundary Behaviour, Dirichlet's Problem, Linear Elliptic Equation, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/3624091
https://doi.org/10.1017/s0308210500010192
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/uber-das-verhalten-der-losung-des-dirichletproblems-am-rand-des-gebietes-wenn-der-rand-zur-klasse-c2-gehort/EDA5D4AFF9C3EAD6605FE5A7B891D844

�ber die stetige Abh�ngigkeit der L�sung des Neumann-Problems f�r die Prae-Maxwellschen Gleichungen von ihren Randdaten: Über die stetige Abhängigkeit der Lösung des Neumann-Problems für die Prae-Maxwellschen Gleichungen von ihren Randdaten

Authors: Heinrich Kersten Peter Hermann

Source: Archiv der Mathematik. 36:79-82

Subject Terms: 0209 industrial biotechnology, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Neumann problem, Degenerate elliptic equations, 02 engineering and technology, Hölder norms, 01 natural sciences, potential theory, Pre-Maxwell equations, Overdetermined systems of PDEs with constant coefficients, Systems of elliptic equations, boundary value problems, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, counter-example for uniform norms, continuous dependence on boundary data

File Description: application/xml

Access URL: https://zbmath.org/3703212
https://doi.org/10.1007/bf01223672
https://link.springer.com/content/pdf/10.1007/BF01223672.pdf
https://link.springer.com/article/10.1007/BF01223672

Contrólabilité exacte pour des Systémes á mémoire: Contrôlabilité exacte pour des systèmes à mémoire

Authors: Jinhai Yan

Source: Revista Matemática Complutense. 5

Subject Terms: 0103 physical sciences, exact controllability, Existence theories for optimal control problems involving partial differential equations, time dependent smooth kernels, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, memory systems, 01 natural sciences

File Description: application/xml

Access URL: https://revistas.ucm.es/index.php/REMA/article/download/REMA9292220319A/17065
https://zbmath.org/219684
https://revistas.ucm.es/index.php/REMA/article/view/REMA9292220319A/17065

Sur un problème à frontière libre de la physique des plasmas

Authors: H. Gourgeon Jacqueline Mossino

Source: Annales de l’institut Fourier. 29:127-141

Subject Terms: Free Boundary, Grad- Mercier Equation, Symmetrisation, Partial differential equations of mathematical physics and other areas of application, Plasma Physics, Nonlinear boundary value problems for linear elliptic equations, Free boundary problems for PDEs, Statistical mechanics of plasmas, Elliptic Operator, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, 01 natural sciences

File Description: application/xml

Access URL: http://archive.numdam.org/article/AIF_1979__29_4_127_0.pdf
http://www.numdam.org/item/10.5802/aif.770.pdf
http://www.numdam.org/item/AIF_1979__29_4_127_0/
https://eudml.org/doc/74427
https://aif.centre-mersenne.org/item/AIF_1979__29_4_127_0/
https://aif.centre-mersenne.org/item/10.5802/aif.770.pdf

Solutions régulières globales du problème de Cauchy pour les équations des ondes non linéaires. (Global classical solutions to the Cauchy problem for nonlinear wave equations)

Authors: Li, Tatsien Chen, Yunmei

Subject Terms: decay estimates, global existence, Cauchy problem, nonlinear wave equations, energy estimates, Smoothness and regularity of solutions to PDEs, linear homogeneous wave equations, existence, small parameter, Initial value problems for second-order hyperbolic equations, unique global classical solution, contraction mapping principle, classical solutions, General existence and uniqueness theorems (PDE), Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Second-order nonlinear hyperbolic equations, small initial data

File Description: application/xml

Access URL: https://zbmath.org/4054185
https://zbmath.org/4048233

Stabilité des solutions d'un système d'équations différentielles fonctionelles du type elliptique. (Stability of solutions of a system of functional-differential equations of elliptic type)

Authors: Avantaggiati, Antonio Malec, Marian

Subject Terms: dependence on data, Functional-differential equations (including equations with delayed, advanced or state-dependent argument), Systems of elliptic equations, boundary value problems, stability, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, continuous, Stability in context of PDEs, functional-differential equations

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Access URL: https://zbmath.org/3888163

Existenz- und Eindeutigkeitsbeweis zur Lösung des Goursat-Problems für quasilineare hyperbolische Systeme erster Ordnung mittels Differenzenverfahren. (Proof of existence and uniqueness of the solution of the Goursat problem for quasilinear hyperbolic systems of first order by difference methods)

Authors: Gittel, H.-P.

Subject Terms: Goursat problem, Lipschitz continuous functions, first order, difference method, a priori estimate, uniqueness, A priori estimates in context of PDEs, First-order nonlinear hyperbolic equations, mixed problem, continuous dependence, General existence and uniqueness theorems (PDE), quasi-linear hyperbolic systems, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, solvability

File Description: application/xml

Access URL: https://zbmath.org/3969191

Zur Effektivität des Verfahrens der monotonen Iteration bei semilinearen parabolischen und elliptischen Randwertproblemen. (The efficiency of the monotone iterative technique for semilinear parabolic and elliptic boundary value problems)

Authors: Carl, S.

Subject Terms: Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, optimal parameter value, semilinear, initial boundary value problem, Nonlinear boundary value problems for linear elliptic equations, existence, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, stationary problem, Theoretical approximation in context of PDEs

File Description: application/xml

Access URL: https://zbmath.org/4040380

Sur la convergence de solutions d'équations paraboliques avec des coefficients qui dépendent du temps: Sur la convergence de solutions d'équations paraboliques avec des coefficients qui dependent du temps

Authors: COLOMBINI, FERRUCCIO S. SPAGNOLO

Subject Terms: Second-order parabolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Theoretical approximation in context of PDEs

File Description: application/xml

Access URL: https://zbmath.org/3531807
https://hdl.handle.net/11568/2029

Convergence dans \(L^ p(R^{n+1})\) de la solution de l'équation de Klein-Gordon vers celle de l'équation des ondes. \((L^ p(R^{n+1})\)- convergence of the solution of the Klein-Gordon equation to the solution of the wave equation)

Authors: Bachelot, Alain

Subject Terms: convergence, Partial differential equations of mathematical physics and other areas of application, continuity of the solution, Klein-Gordon equation, wave equation, inverse scattering problem, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Theoretical approximation in context of PDEs, Second-order nonlinear hyperbolic equations

File Description: application/xml

Access URL: https://zbmath.org/4052152

Estimations d'énergie pour l'équation des ondes avec conditions aux limites d'ordre élevé. (Energy estimates for the wave equation with high order boundary conditions)

Authors: Ha Duong, Tuong Joly, Patrick

Subject Terms: mixed problem, strong stability, Wave equation, Initial value problems for second-order hyperbolic equations, Initial-boundary value problems for second-order hyperbolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, decay in time of some energy, A priori estimates in context of PDEs, homogeneous half-space

File Description: application/xml

Access URL: https://zbmath.org/98154

Dépendance non linéaire des données de Cauchy pour les solutions des équations aux dérivées partielles

Authors: Bahouri, H.

Subject Terms: Cauchy problem, Carleman inequality, Hölder continuity, Smoothness and regularity of solutions to PDEs, non singular weight, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

File Description: application/xml

Access URL: https://zbmath.org/3901238

Comportement des solutions d'une classe d'équations paraboliques non linéaires dégénérées

Authors: Madaune, Monique

Subject Terms: convergence, behavior of solutions, degenerated nonlinear equation, boundary value problem, Asymptotic behavior of solutions to PDEs, behaviour of the solution, Degenerate elliptic equations, entropy condition, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Degenerate parabolic equations, Theoretical approximation in context of PDEs, nonlinear degenerate parabolic equations

File Description: application/xml

Access URL: https://zbmath.org/3660094
https://zbmath.org/3676378

Über Existenz und stetige Abhängigkeit vom Parameter der Lösung des Cauchyproblems für eine hyperbolische Gleichung m-ter Ordnung

Authors: Germanjuk, I. M.

Subject Terms: Initial value problems for higher-order hyperbolic equations, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

File Description: application/xml

Access URL: https://zbmath.org/3580975